1. Introduction
Radio variability is produced by a wide range of astronomical sources and phenomena, including the Sun, planets, stellar systems, neutron stars, supernovae, gamma ray bursts (GRBs) and active galactic nuclei (AGN) (Cordes et al. Reference Cordes2004). Among the most exciting and anticipated transient sources from extragalactic imaging surveys are neutron star mergers, tidal disruption events, and orphan GRB afterglows (Metzger et al. Reference Metzger, Williams and Berger2015). These can help answer questions regarding the true rates of these events (independent of beaming), their energetics, and the properties of their surrounding media. However, because the source of the emission is similar in most cases (shock-driven synchrotron emission), distinguishing these sources from other transients can be hard, especially with small numbers of detections well after the sources have faded. Therefore prompt identification and multi-wavelength comparisons are crucial (Ofek et al. Reference Ofek, Frail, Breslauer, Kulkarni, Chandra, Gal-Yam, Kasliwal and Gehrels2011; Stewart et al. Reference Stewart, MuÑoz-Darias, Fender and Pietka2018).
At the same time, we must distinguish between extragalactic transients and Galactic foreground sources, primarily low-mass stars and pulsars (analogous to the situation in searches for fast optical transients, where M star flares are the dominant foreground; see e.g., Cowperthwaite & Berger Reference Cowperthwaite and Berger2015; Ho et al. Reference Ho2018; Webb et al. Reference Webb2020). Again, multi-wavelength identification can be crucial, but in some cases the properties of the radio emission itself can be used to identify high brightness temperatures and/or coherent emission that rule out extragalactic sources (e.g., Kaplan et al. Reference Kaplan, Hyman, Roy, Bandyopadhyay, Chakrabarty, Kassim, Lazio and Ray2008; Roy et al. Reference Roy, Hyman, Pal, Lazio, Ray and Kassim2010; Pritchard et al. Reference Pritchard2021).
Early untargeted surveys generally used archival data, and consisted of either many repeats of relatively small sky areas (e.g., Carilli et al. Reference Carilli, Ivison and Frail2003; Bower et al. Reference Bower2007); a few repeats of large sky areas, such as the comparison between the NRAO VLA Sky Survey (NVSS; Condon Reference Condon1997) and Faint Images of the Radio Sky at Twenty-centimetres (FIRST; White et al. Reference White, Becker, Helfand and Gregg1997) surveys (Gal-Yam et al. Reference Gal-Yam2006); or inconsistently sampled repeats over a range of sky areas (e.g., Bannister et al. Reference Bannister, Murphy, Gaensler, Hunstead and Chatterjee2011a). These surveys typically resulted in a small number of detections, but the historical nature of these detections, and the lack of multi-wavelength data made it difficult to classify or confirm these objects (e.g., Bower et al. Reference Bower2007; Thyagarajan et al. Reference Thyagarajan, Helfand, White and Becker2011).
Despite the limitations of these surveys there have been a number of interesting discoveries. For example, Hyman et al. (Reference Hyman2005) and subsequent papers identified several interesting sources towards the Galactic Centre whose origins are still unknown (see also Hyman et al. Reference Hyman, Wijnands, Lazio, Pal, Starling, Kassim and Ray2009), and Ofek et al. (Reference Ofek, Frail, Breslauer, Kulkarni, Chandra, Gal-Yam, Kasliwal and Gehrels2011) used near real-time reduction and multi-wavelength follow-up to identify a single transient that may be consistent with a neutron star merger.
More recently, the advent of Square Kilometre Array (SKA) pathfinder telescopes and upgrades of established telescopes have allowed a new wave of radio transients surveys (e.g., Driessen Reference Driessen2020). For example, the Caltech-NRAO Stripe 82 survey (CNSS; Mooley et al. Reference Mooley2016) has used the upgraded Karl G. Jansky Very Large Array (VLA) to repeatedly survey an equatorial strip and identified a number of sources, including a tidal disruption event (TDE; Anderson et al. Reference Anderson2020). Stewart et al. (Reference Stewart2016) used repeated observations of the north celestial pole at 60 MHz with the Low Frequency Array (LOFAR; van Haarlem et al. Reference van Haarlem2013) and found a single transient event of unknown nature. The ongoing VLA Sky Survey (VLASS; Lacy et al. Reference Lacy2020) has led to the identification of several sources through comparison with archival surveys (Law et al. Reference Law, Gaensler, Metzger, Ofek and Sironi2018; Ravi et al. Reference Ravi2021). The ThunderKAT large survey project (Fender et al. Reference Fender2016) on the MeerKAT telescope (Jonas & MeerKAT Team 2016) will both conduct its own observations and analyse commensal data from other projects, and has already identified new sources including a chromospherically active K-type sub-giant (Driessen et al. Reference Driessen2020). Increasingly these detections are being made closer to real-time (within days of observation), aided by improved radio surveys (Lacy et al. Reference Lacy2020; McConnell et al. Reference McConnell2020) to allow rapid identification of new (or missing; e.g., Ravi et al. Reference Ravi2021) sources.
This progress at radio wavelengths is coupled with significant improvements (in depth, wavelength coverage, resolution, and temporal sampling) in multi-wavelength coverage, such as the Panoramic Survey Telescope and Rapid Response System (Pan-STARRS; Chambers et al. Reference Chambers2016), the Vista Hemisphere Survey (VHS; McMahon et al. Reference McMahon, Banerji, Gonzalez, Koposov, Bejar, Lodieu, Rebolo and Collaboration2013), the VISTA Variables in the Via Lactea survey (VVV; Minniti et al. Reference Minniti2010), SkyMapper (Keller et al. Reference Keller2007), the Dark Energy Survey (DES; Abbott et al. Reference Abbott2018), DESI Legacy Imaging Surveys (especially Dark Energy Camera Legacy Survey, or DECaLS; Dey et al. Reference Dey2019), the Wide-field Infrared Survey Explorer (WISE; Wright et al. Reference Wright2010) and, especially for stellar science, the Gaia mission (Gaia Collaboration et al. 2016). These surveys improve cross-matching and classification for a variety of sources (Stewart et al. Reference Stewart, MuÑoz-Darias, Fender and Pietka2018).
The Australian Square Kilometre Array Pathfinder (ASKAP; Johnston et al. Reference Johnston2007; Hotan et al. Reference Hotan2021) is an array of $36{\times}12$ -metre prime-focus antennas located at the Murchison Radio-astronomy Observatory in Western Australia. It operates over a frequency range of 0.7–1.8 GHz with an instantaneous bandwidth of 288 MHz and a nominal field of view of 31 square degrees. ASKAP was designed as a rapid wide-field survey instrument. The ASKAP Variables and Slow Transients Survey (VASTFootnote a; Murphy et al. Reference Murphy2013) is one of the key survey science projects (SSPs)Footnote b approved for ASKAP time allocation.
VAST was designed to detect astronomical phenomena that vary on timescales accessible in the ASKAP imaging mode (from $\sim\!5$ s to several years). Since the original survey proposal described by Murphy et al. (Reference Murphy2013), the scope of the science case has been extended to incorporate detection of radio emission from gravitational wave events (in particular binary neutron star mergers) and fast radio bursts and their host galaxies (in the image domain). More rapidly varying sources (on timescales of less than seconds) are being explored as part of the Commensal Real-Time ASKAP Fast-Transients Survey (CRAFT; Macquart et al. Reference Macquart2010).
In the Early Science period, we have demonstrated ASKAP’s capability to detect time-variable phenomena in imaging mode. We have reported: an initial search for transients and variables in a single $30\,\mathrm{deg}^2$ field using 8 daily epochs and a subset of the final ASKAP array (Bhandari et al. Reference Bhandari2018, also see Heywood et al. Reference Heywood2016); the discovery of a new millisecond pulsar J1431 $-$ 6328 (Kaplan et al. Reference Kaplan2019); a sample of 23 previously undetected flaring stars (Pritchard et al. Reference Pritchard2021); and radio bursts from UV Ceti (Zic et al. Reference Zic2019) and Proxima Centauri (Zic et al. Reference Zic2020). In addition, ASKAP was used to follow-up several gravitational wave events from LIGO/Virgo, notably GW190814 (Dobie et al. Reference Dobie2019; Abbott et al. Reference Abbott2020).
During 2019–2020, each of the SSPs was allocated 100 h of observing time to conduct a Phase I Pilot Survey with ASKAP. In 2021, another 100 h have been allocated to conduct a Phase II Pilot Survey. The purpose of these pilot surveys is to test the observing strategy and implementation, data processing capabilities, and scientific analysis in preparation for the full surveys, which are expected to begin in 2022.
In this paper we describe the VAST Phase I Pilot Survey, present some initial results, and discuss the plan for the VAST Phase II Pilot Survey. In Section 2 we discuss our observational specifications and scheduling; in Section 3 we discuss our transient detection pipeline software; in Section 4 we present results from an untargeted variability search on two of the VAST Phase I Pilot Survey regions (3 and 4); and in Section 5 we discuss our future plans.
2. Observations and survey strategy
2.1. The rapid ASKAP continuum survey
In addition to our dedicated VAST observations, we incorporated data from the Rapid ASKAP Continuum Survey (RACS; McConnell et al. Reference McConnell2020) as our first epoch. RACS is the first large-area survey to be conducted with the full 36-antenna ASKAP telescope. When complete, RACS will cover the sky south of declination $+51^\circ$ (a total sky area of $36\,656\ \mathrm{deg}^2$ ), across three ASKAP bands (centred on 888, 1296 and 1656 MHz). The angular resolution is $15{-}25\,\mathrm{arcsec}$ in the low band and $8-$ 27 arcsec in the mid band, depending on the declination.
The first data release of RACS consists of 903 images covering the sky south of declination $+41^\circ$ , observed in the low band (centred on 888 MHz). Each field was observed for $\sim\!15\,\mathrm{min}$ , achieving a typical rms noise of $0.25\,\mathrm{mJy\,beam}^{-1}$ . All four instrumental polarisation products (XX, XY, YX, and YY) were recorded to allow images to be made in Stokes parameters I, Q, U, and V. The data were processed using the ASKAPSoft pipeline (Cornwell et al. Reference Cornwell2012) and are available through the CSIRO ASKAP Science Data Archive (CASDAFootnote c; Chapman et al. Reference Chapman, Dempsey, Miller, Heywood, Pritchard, Sangster, Whiting, Dart and Society2017) under project code AS110.
We used the RACS low-band survey as ‘epoch 0’ of the VAST Phase I Pilot Survey (VAST-P1) which was conducted entirely in the lowest frequency band. We will use the RACS mid-band survey as ‘epoch 0’ of the VAST Phase II Pilot Survey (VAST-P2), which will be conducted in both the low and mid-bands. This allows us to take advantage of the RACS tiling pattern and survey design, which had very similar parameters to those required for VAST. An important note is that the publicly-released RACS images have had an additional flux correction applied, as described by McConnell et al. (Reference McConnell2020), so any epoch 0 flux densities reported in this work may differ from the (improved) published RACS catalogue (Hale et al., submitted).
In in this paper, we use the following terminology to describe the different components of our survey and others:
-
beam footprint The arrangement of phased-array feed (PAF) beams used to cover a single field. We use the square_6x6 and closepack36 beam footprints (see Hotan et al. Reference Hotan2021).
-
field A single observation or pointing.
-
tiling pattern How individual fields are placed to cover a larger area.
-
region A grouping of pointings (usually but not always covering adjacent) meant to cover a particular area of the sky or type of source.
-
survey footprint The total sky area covered by a survey (for instance, DES) or one epoch of a survey (as in VAST-P1).
2.2. Phase I pilot survey observations
VAST-P1 consists of 113 fields taken from the RACS low-band tiling pattern. The survey coverage of VAST-P1 is shown in Figure 1. The survey consists of six regions, chosen to test some of the different VAST science goals. These are summarised below.
Region 1: An extragalactic region of 40 fields ( $1840\,\mathrm{deg}^2$ ) along an equatorial strip centred at RA of $0^{\rm h}$ . This was chosen to overlap with the CNSS, which itself had considerable overlap with FIRST. In addition, this overlaps with part of the DES/DECaLS coverage.
Region 2: A second extragalactic region of 28 fields ( $1300\,\mathrm{deg}^2$ ) along an equatorial strip centred at RA of $12^{\rm h}$ . The equatorial regions have the advantage of greater multi-wavelength coverage from telescopes in the northern hemisphere. This region in particular has good overlap with FIRST and DECaLS.
Region 3: An extragalactic region of 19 fields ( $820\,\mathrm{deg}^2$ ) chosen within the larger DES survey footprint, centred at ${\rm RA}=4.5\,\mathrm{hr}, {\rm Dec}=-50\deg$ .
Region 4: A second region of 19 fields ( $830\,\mathrm{deg}^2$ ) within the DES survey footprint, centred at ${\rm RA}=22\,\mathrm{hr}$ , ${\rm Dec}=-50\deg$ . Region 4 also overlaps with the Evolutionary Map of the Universe (EMU; Norris et al. Reference Norris2011) Phase I Pilot Survey and the Polarisation Sky Survey of the Universe’s Magnetism (POSSUM; Gaensler et al. Reference Gaensler, Landecker and Taylor2010) Phase I Pilot Survey.
Region 5: A small 5-field ( $265\,\mathrm{deg}^2$ ) region covering the Galactic Centre.
Region 6: A small 2-field ( $135\,\mathrm{deg}^2$ ) region covering the Small and Large Magellanic Clouds.
Note that the region area above is not the number of fields times $31\,\mathrm{deg}^2$ for two reasons. First, the instantaneous field-of-view is typically more than $31\,\mathrm{deg}^2$ as it includes sky sampled by the PAF beams which is outside the region over which the PAF can point (which is the origin of the $31\,\mathrm{deg}^2$ number). The field-of-view is frequency dependentFootnote d but can be up to $64\,\mathrm{deg}^2$ at the low-band frequency, including lower-sensitivity wings of the PAF beams. Second, when fields are adjoining the lower-sensitivity wings overlap, improving sensitivity but reducing total sky coverage.
The ASKAP observing specifications in the context of VAST-P1 are summarised in Table 1, and the full set of VAST-P1 observations is summarised in Table 2. Our survey strategy was to observe five epochs of the VAST-P1 survey footprint, with each epoch separated by months, and one pair of epochs separated by a single day. However, there were also extra test observations conducted, and some epochs in which extra fields were observed to accommodate observations where the schedule initialisation failed (or was excessively delayed). Hence, in addition to the six full epochs (epochs 1, 2, 8, 9, 12 and 13 in Table 2), there are a number of epochs that have partial coverage of the VAST-P1 survey footprint. These epochs are labelled with an ‘x’ in their name in Table 2 (3x, 4x, 5x, 6x, 7x, 10x and 11x). The data for epoch 12 (marked with as asterisk in Table 2) only became available after submission of this paper. We have included it in the table for completeness but the data is not included in any of the analysis presented in this paper.
The total combined area of a full VAST-P1 epoch is $5131\,\mathrm{deg}^2$ . Each field was observed for 12 min integration time (rather than 15 min for RACS). Excluding RACS (as epoch 0) we observed 813 fields, for a total observing time of $\sim\!162\,\mathrm{h}$ . In this paper we present results from two of the regions (3 and 4). The rest of the VAST-P1 survey footprint will be analysed in subsequent papers.
2.3. Phase II pilot survey strategy
The VAST Phase II Pilot Survey will commence in 2021. The aims of VAST-P2 are: to build on the scientific analysis from VAST-P1; to test faster turn-around of imaging and transient detection; and to demonstrate commensality with ASKAP mid-band surveys by observing some epochs at 1296 MHz.
We plan to observe five epochs spread over the six months of the pilot programme. We will observe two epochs at low-band, using the same survey footprint as VAST-P1 and the square_6x6 beam footprint. The remaining three epochs will be observed in the ASKAP mid-band. This will use the tiling pattern from the RACS mid-band survey and the closepack36 beam footprint (Hotan et al. Reference Hotan2021).
The size of the primary beams scales proportionally with wavelength. Since we tile the sky with beam footprints that provide nearly uniform sensitivity across the observed area, our mid-band survey will require a different tiling pattern where each beam footprint will cover less area than the low-band beam footprints. Just as we have done for our low-band survey, we select our mid-band tiling pattern from the RACS mid-band survey tiling pattern. Note that since the mid-band beam footprints are smaller, the low- and mid-band field centres are not aligned.
Subtracting the duration of two low-band epochs from the total VAST-P2 observing time will leave enough time to observe 3 epochs of 91 mid-band fields. This will not be enough to cover the entire low-band survey area, so we have iteratively selected mid-band fields from RACS to optimise the overlap with the low-band fields from the following VAST regions in order: 5 (Galactic Centre), 6 (Magellanic Clouds), 1 (equatorial strip), then 4 (DES/EMU/POSSUM). This results in 88 mid-band fields. The remaining 3 mid-band fields have been selected from region 3 (DES) as it is adjacent to the already selected region 6 fields that cover the LMC. The full set of selected mid-band fields is shown in Figure 1.
2.4. Data products
VAST-P1 data was processed using the same calibration and imaging strategy as that used by the RACS survey (McConnell et al. Reference McConnell2020), the only difference was that VAST used a standard Gaussian primary beam correction whereas RACS applied a position-dependent correction based on holography data to correct for slight non-Gaussianity of the PAF beams. The use of holographic data to correct for primary beam attenuation was made available for general processing in the ASKAPsoft pipeline after most VAST processing for VAST-P1 was completed, however, it was used in the processing of epoch 12. There are two main image data products:
-
1. The individual field (or ‘tile’) images produced by ASKAPSoft. These were created by combining the 36 individual beam images. We produced multi-frequency synthesis (MFS) images for all four Stokes parameters I, Q, U and V. Two Taylor-terms are used in Stokes I imaging to consider the spectral slope of field sources across the observed band.
-
2. Combined images made by mosaicing the individual field images together (these are not produced by ASKAPSoft) across each region of VAST-P1. This means that images at different times within a given epoch are combined, so they can only be used for epoch-to-epoch comparisons.
A typical VAST-P1 image is shown in Figure 2. When imaging, we removed short ( $< 100$ m) baselines in order to; (i) to minimise solar interference; and (ii) as there is insufficient uv-coverage to reliably recover extended structure in short VAST-P1 observations.
A histogram of the rms noise in each individual VAST image in regions 3 and 4 is shown in Figure 3, where we separately show Stokes I and Stokes V. The latter is dominated by thermal noise in the images, while the former also has significantly more contributions from source confusion, sidelobe confusion, and deconvolution artefacts. The median rms is $0.24\,{\rm mJy\,beam}^{-1}$ in Stokes I, while it is $0.20\,{\rm mJy\,beam}^{-1}$ in Stokes V.
In addition to images, the ASKAPSoft pipeline also produces a catalogue of groups of pixels of contiguous emission (‘islands’), a catalogue of Gaussian components fit to the islands (‘components’, where each island may be fit with one or more components), and an rms map and a median map corresponding to each field. These are created by the Selavy source finding software (Whiting Reference Whiting2012) incorporated into ASKAPSoft. We ran Selavy separately on our combined images, and used these additional data products as inputs to our VAST transient detection pipeline, as described in Section 3. We used the default parameter settings in ASKAPSoft, so sources were considered ‘detected’ if they exceeded 5 times the local rms (roughly 1.2 mJy in Stokes I for an unresolved source).
Two of the VAST-P1 epochs (8 and 9) were observed on consecutive days, and were matched in local sidereal time (LST). This was done to explore whether LST-matching improved the ability to search for transients using image subtraction. The observations for the matched epochs were taken over a period of two weeks, but within that period each individual field was LST matched and observed on consecutive days.
2.5. Data quality analysis
Before images were released in CASDA, we performed some quality control checks of the astrometric accuracy and flux density scale (both relative and absolute). In addition, we visually inspected each image to check the overall data quality (on the basis of this, a single field was excluded: VAST_0534–43A in epoch 7x, which contains Pictor A). In this section, we summarise the results for the two VAST-P1 regions (3 and 4) presented in this paper (see Section 4.2).
2.5.1. Astrometric accuracy
To evaluate the astrometric accuracy of our images, we extracted bright (SNR $>=7$ ), compactFootnote e sources using Selavy that are isolated by a minimum of 150 arcsec from other sources, and then crossmatched them with the International Celestial Reference Frame (ICRF) catalogue (Charlot et al. Reference Charlot2020). The ICRF consists of 4536 radio sources with accurate positions measured using very long baseline interferometry (VLBI).
The left panel of Figure 4 shows the offsets for VAST-P1 sources associated with the 41 ICRF sources in regions 3 and 4 (a total of 331 comparisons across all epochs). The median and standard deviation of the positional offsets is $-0.19 \pm 0.53\,\mathrm{arcsec}$ in right ascension and $0.07 \pm 0.48\,\mathrm{arcsec}$ in declination, with a standard error of $29\,\mathrm{milliarcsec}$ in both coordinates. The median positions of each epoch of VAST-P1 are shown as coloured markers.
We also compared the VAST-P1 sources with the positions in the published RACS catalogue (Hale et al., submitted). There were $378\,823$ unique measurements of $32\,769$ compact, isolated RACS sources across all epochs within regions 3 and 4 with SNR $>=7$ . The results of this comparison are shown in the right panel of Figure 4. The median and standard deviation of the positional offsets are $0.58\,\ \pm\, 1.01\,\mathrm{arcsec}$ in right ascension and $0.14 \pm 0.99\,\mathrm{arcsec}$ in declination, with a standard error of $1.6\,\mathrm{milliarcsec}$ in both coordinates.
2.5.2. Flux density scale
In addition to the absolute flux density scale, for variability analysis it is important that the flux density scale from epoch to epoch is consistent. To evaluate both of these, we crossmatched compact, isolated sources with $\mathrm{SNR}>=7$ in each epoch of VAST-P1 with sources in the published RACS catalogue. Figure 5 shows the flux density ratio for these $378\,823$ sources.
Nine of the twelve epochs have a median VAST-P1/RACS flux density ratio between 0.97 and 1.03 (within 3%). Epoch 10x has a ratio of 0.93 and Epochs 05x and 06x have ratios of 0.94 and 0.95 respectively. The overall ratio is 0.98 with a $1\sigma$ scatter of 0.15. This scatter is probably the result of a few differences in the way that RACS and VAST-P1 data were processed. The most significant of these is that the published RACS images had a holography correction applied that improved the flux density scale, particularly in the outer regions of images. These discrepancies will be corrected in future analyses, but for the current work our conservative variability thresholds (see below) mean that they are not significant.
2.5.3. Known issues
As discussed above, the observations presented here are part of a pilot study for a full survey. Therefore some of the observations and analysis used were less than optimal, and evolved as we discovered deficiencies. These lessons will inform the full VAST survey. Nonetheless, the data are useful for scientific analysis, but we note the various issues below.
From epoch 4x onwards, we made all observations within $\pm 1\,\mathrm{h}$ of meridian transit to ensure a consistent synthesised beam size for all fields. In epochs 1–3x, this did not occur and some fields were observed at large zenith angles, resulting in very extended synthesised beams.
From epoch 5x onwards, an intermittent system issue at the initialisation of a new field observation caused random phase delays on a few antennas on a small subset of field observations. These were identified after processing, but could not be corrected in all cases. Furthermore, even for corrected fields, this occasionally resulted in increased astrometric and flux scale errors. Fields that were affected by this issue are highlighted in the release notes in CASDA. Other more subtle changes in the bandpass and beam-shape may also have occurred in early observations as beam-forming and use of the on-dish calibrator improved over the course of the pilot survey. As a result, more recent data tend to be of higher quality than earlier data.
The process used to obtain an initial deconvolution model for use in self-calibration in the ASKAP pipeline can introduce a slight positional offset in each beam image. This is because self-calibration will tend to snap to a dominant field source and place it at a pixel centre. This not only causes astrometric errors, up to half a pixel (1.25 arcsec) in extent, but can also cause apparent extension of a source if the shift is in opposite directions for a source in two overlapping beams.
The source finding for the VAST pipeline input was performed on final mosaiced images. In early pilot survey images, it was assumed that the point spread function (PSF) of each beam would be consistent in each field. In practice, the PSF can vary from beam to beam as a result of differences in flagging and elevation. As only a single PSF is recorded in the image header, typically the PSF associated with beam 0, this can affect the accuracy of the flux scale across the entire mosaic.
Also, note that the RACS flux density scale correction (as described in Appendix A of McConnell et al. Reference McConnell2020) has not been applied to the VAST data. Hence we also used the pre–flux-corrected RACS data in epoch 0, for consistency. For future work, we plan to convolve all fields to a consistent PSF and apply these corrections to ensure consistency between RACS-low, RACS-mid and both the VAST pilot surveys.
2.6. Data availability
The raw data and individual field images for the entire VAST-P1 survey are publicly available through CASDA under project code AS110 for RACS and AS107 for VAST. Epoch 4x of VAST-P1 was conducted as a test observation and is available under project code AS113. Higher order data products such as variability catalogues will be released once full analysis is complete.
3. Transient detection pipeline
The primary technical goal of the VAST Pilot Surveys is to demonstrate the capability to detect highly variable and transient sources. One of the main open-source software packages for image-based radio transient detection is the LOFAR Transients Pipeline (TraP; Swinbank et al. Reference Swinbank2015). TraP can be applied to radio image data from any facility, and has been used successfully in a number of transient projects (e.g., Stewart et al. Reference Stewart2016; Driessen et al. Reference Driessen2020; Sarbadhicary et al. Reference Sarbadhicary2020).
Testing TraP on the early ASKAP datasets revealed some scalability issues. After investigating a number of options, we decided to implement a new pipeline to search ASKAP data in an efficient way. Most of the key logic of this pipeline follows the approach of TraP, but with some implementation differences that significantly improve the performance.
The main VAST Pipeline technology stack is: Python 3.7+, PostgreSQL Footnote f $12+$ , Astropy Footnote g $4+$ , Django Footnote h $3+$ , Pandas Footnote i $1.2+$ , Dask Footnote j $2+$ and Bootstrap Footnote k 4. A more complete technical description of the pipeline implementation is given by Pintaldi et al. (Reference Pintaldi, Stewart, O’Brien, Kaplan and Murphy2021). In this section we discuss the scientific functionality and resulting data products in the context of the results presented here.
3.1. Pipeline processing method
The VAST pipeline takes as input a set of images, rms maps and mean (background) maps (all as FITS files) from Selavy as well as the Selavy source finding component list. These data products are all default outputs from the ASKAPSoft continuum imaging process, which means the VAST pipeline can be run immediately after the ASKAPSoft data reduction is completed.
For the work presented in this paper, we used the combined images (created by mosaicing individual fields together) as the input. This means that only epoch-to-epoch timescales could be explored. The entire Selavy source list was read in, but any duplicate sources from overlapping fields within the same epoch were filtered out using a tight crossmatching radius of 2.5 arcsec. In principle it would also be possible to search for variability within epochs in the regions where fields overlap: this will be the subject of future analysis. Investigating faster variability (within a single observation, for example, Wang et al. Reference Wang, Tuntsov, Murphy, Lenc, Walker, Bannister, Kaplan and Mahony2021) will also be explored in future work.
We ran the VAST pipeline on these combined images, following the steps below:
-
1. Image ingest: Image metadata and Selavy catalogues were ingested for each image.
-
2. Uncertainties on flux densities and positions for every source component were calculated following Condon (Reference Condon1997).Footnote l
-
3. Source association was done by crossmatching each epoch to the next epoch using the de Ruiter method (Scheers (Reference Scheers2011), based on de Ruiter et al. Reference de Ruiter, Willis and Arp1977). We used the default beamwidth limit of 1.5 and the search radius of 5.68 (these are both unitless values). The beam size that is used for the epoch mode association should be equal to the largest beam contained in the epoch images.
-
4. Forced extractions (where a flux density is measured at a specified position) were performed for sources that were not detected in every epochFootnote m, so that a complete light curve could be built for each source. Where there were multiple observations of a given source within an epoch (e.g., due to image overlap), the forced extractions were taken from the image whose centre was nearest to the source position.
-
5. New sources that had not appeared in previous epochs were identified.
-
6. Variability metrics were calculated for all sources identified by the pipeline (see Section 3.2). The forced extraction measurements were incorporated when calculating all variability metrics.
-
7. Results were saved in a database and output to parquet Footnote n files, an open source columnar data format that allows flexible custom post-processing (Vohra Reference Vohra2016).
The resulting data products are a light curve for every source detected in one or more epochs, and a set of standard variability metrics. Figure 8 shows light curves for the highly variable sources presented in this paper.
The pipeline results are available to users via either an interactive web application (including some basic multi-wavelength information), or through the parquet files that can be read by a variety of data-analysis software packages. The VAST Tools python package, described in Section 3.3, offers a streamlined method to explore the pipeline results in a Jupyter notebook environment. For more detailed information about the VAST pipeline, see the publicly available software and documentationFootnote o.
3.2. Variability metrics
The VAST pipeline identifies highly variable and transient sources using the two key light curve parameters identified by Rowlinson et al. (Reference Rowlinson2019). These are: the modulation index V, a measure of the variability in a light curve; and the reduced $\chi^2$ relative to a constant model $\eta$ , a measure of the significance of the variability. These parameters are defined as:
where N is the number of data points, the flux density and uncertainty on the i-th epoch are $S_i$ and $\sigma_i$ , means are denoted by overbars (i.e., $\overline{S} \equiv \frac{1}{N}\sum_i S_i$ ) and in calculating $\eta$ the flux density measurements are weighted by the uncertainties according to $w_i=1/\sigma_i^2$ (also see Swinbank et al. Reference Swinbank2015).
The parameter V selects sources with high variability without assessing the statistical significance of that variability. In contrast, the parameter $\eta$ acts as a measure of the statistical significance of that variability without knowledge of its absolute amplitude. Used in combination, these parameters select a sample of statistically significant, highly variable objects.
The pipeline also allows for two-epoch variability searches (where the variability is calculated based on pairs of observations), but this functionality was not used in the results presented here.
3.3. VAST tools software
VAST Tools Footnote p is a python package containing tools for accessing and exploring VAST data products. The current functionality at the time of latest release (Version 2.0.0) is outlined below. VAST Tools can be used via a command line interface or in Jupyter notebooks. VAST Tools can also be used as an interface to analyse results from a VAST Pipeline run.
3.3.1. Survey information
The VAST Tools package includes the complete details of the spatial and temporal coverage of VAST-P1. The beam centres for all fields are listed in comma-separated-values (CSV) files on a per-epoch basis, while Hierarchical Equal Area isoLatitude Pixelisation (HEALPix; Górski et al. Reference Górski, Wandelt, Hansen, Hivon and Banday1999) Multi-Order Coverage (MOCFootnote q; Fernique et al. Reference Fernique, Boch, Donaldson, Durand, O’Mullane, Reinecke and Taylor2019) maps contain the spatial coverage of each survey field, and each epoch. We have also created a space-time MOC for the full pilot survey coverage. The MOCs can be accessed though a mocpy Footnote r wrapper included in the VAST Tools package, which also allows users to load MOCs and also query VizieR tables for sources within the MOC coverage.
3.3.2. Querying coordinates
The Query class allows users to search the VAST pilot for observations of a given location. Three main query types exist: (1) finding the fields containing the specified coordinates; (2) searching for radio emission at the specified coordinates; and (3) finding all sources within a given radius of the specified coordinates. Query types 2 and 3 require VAST tools to be run on a machine with access to the relevant FITS files and Selavy catalogues.
VAST tools can crossmatch coordinates with the Selavy catalogues, and produce light curves, FITS cutouts and postage stamp images with various overlays (e.g., Figure 9). Forced fitting is available, and there are options to produce light curves with upper limits (based on Selavy rms maps), forced fits for non-detections, or forced fits for all epochs.
3.3.3. Pipeline interface
Users are able to explore the results from the VAST Pipeline in an interactive manner using the Pipeline class, which contains built-in methods to perform tasks such as transient analyses, plotting lightcurves and querying external resources. This is achieved by using the parquet files that are provided as output by the pipeline, and using data exploration libraries such as Pandas and vaex Footnote s.
4. Untargeted variability search
Some of the early results from VAST focus on the time-domain behaviour of samples of known objects selected in radio or other wavebands, for example the search for radio afterglows from Swift GRBs that resulted in a detection of the late-time afterglow from GRB 171205A (Leung et al. Reference Leung2021).
In contrast, in this section we present initial results from an untargeted search for highly variable sources and transients in regions 3 and 4 of the VAST Phase I Pilot Survey. This demonstrates the functionality of the VAST pipeline, and shows some of the diversity of variable sources that the full VAST survey will detect. Analysis of the other survey regions will be presented in subsequent papers.
4.1. Data analysis
We ran the VAST pipeline on the fields from regions 3 and 4, following the process outlined in Section 3. We then selected compact, isolated sources by excluding sources that satisfied any of the following criteria:
-
• fewer than two measurements (forced or Selavy);
-
• neighbouring sources within 30 arcseconds;
-
• extended (a ratio of average integrated flux to average peak flux greater than 1.5);
-
• a SNR of $<\!7$ ;
-
• negative modulation index (caused by a negative mean flux density).
After applying these criteria, our remaining sample of compact, isolated sources consisted of 155 071 unique sources each detected in at least one epoch. This is a very conservative selection. For instance, requiring no nearby neighbours helps to eliminate imaging artefacts but will also exclude sources in a galaxy with a detectable nucleus or sources in crowded regions. Therefore the results below should be taken as a lower limit, and future searches should identify more objects even in the same regions of the sky.
Figure 6 shows the distribution of sources in the two key variability metrics V and $\eta$ (defined in Equations 1 and 2). Using $2\sigma$ cutoffs in both of these parameters ( $V>0.51$ , $\eta > 5.53$ ) we identified 171 sources as highly variable. These appear in the shaded top right-hand quadrant of Figure 6.
We manually inspected the radio light curves, images and multi-wavelength data for each of these sources, and identified 108 as artefacts near bright sources. Another 14 were in regions of poor data quality, and 21 were detections of marginal significance. This left 28 reliable astronomical transients and variables, which are marked as red in Figure 6. We discuss these variable sources in the next section.
4.2. Results
Our 28 highly variable and transient sources are listed in Table 4 with light curves in Figure 8 and image cutouts in Figure 9. Seven of these sources are known pulsars and seven are radio stars. We discuss each of these classes below. The remaining sources are discussed in Section 4.2.3.
4.2.1. Pulsars
Seven of our highly variable sources are known pulsars: PSRs J0255 $-$ 5304, J0418 $-$ 4154, J0600 $-$ 5756, J2039 $-$ 5617, J2144 $-$ 5237, J2155 $-$ 5641, and J2236 $-$ 5527. Pulsars can be variable for intrinsic reasons (nulling, intermittency, e.g., Backer Reference Backer1970; Kramer et al. Reference Kramer, Lyne, O’Brien, Jordan and Lorimer2006; Wang et al. Reference Wang2020), external reasons (interstellar scintillation; e.g., Rickett Reference Rickett1970; Stinebring & Condon Reference Stinebring and Condon1990; Bell et al. Reference Bell2016; Kumamoto et al. Reference Kumamoto2021), or because of absorption by gas in binary systems (e.g., Broderick et al. Reference Broderick2016; Polzin et al. Reference Polzin, Breton and Bhattacharyya2020; Kudale et al. Reference Kudale, Roy, Bhattacharyya, Stappers and Chengalur2020). In fact this variability can help separate pulsars from the background of continuum sources (e.g., Dai et al. Reference Dai, Johnston and Hobbs2017).
Three of the sources are in binary systems: PSRs J2039 $-$ 5617, J2144 $-$ 5237, and J2236 $-$ 5527. Of these, PSR J2039 $-$ 5617 does have eclipses that cause radio pulsations to disappear for half the orbit (Corongiu et al. Reference Corongiu2021). That source also has significant variability in the pulsed amplitude, which Corongiu et al. (Reference Corongiu2021) largely ascribe to scintillation but also argue could be caused by more ‘exotic’ mechanisms (such as absorption by intra-binary gas). PSR J2144 $-$ 5237 is a binary with a low-mass companion (Bhattacharyya et al. Reference Bhattacharyya2019) that, based on its mass alone, could be a ‘redback’ system. Such systems are often eclipsing (Roberts Reference Roberts, D’Amico, Esposito, Pellizzoni and Possenti2011), but there is no sign of eclipses in the timing data and so a helium-core white dwarf seems more likely. PSR J2236 $-$ 5527 is similarly presumed to have a helium-core white dwarf companion (Burgay et al. Reference Burgay2013). Therefore binary companions do not seem to be causing the variability in these systems, although PSR J2039 $-$ 5617 may merit further analysis.
For the other four pulsars, there are no exotic phenomena noted in the literature (e.g., Newton et al. Reference Newton, Manchester and Cooke1981; Xie et al. Reference Xie2019; Johnston et al. Reference Johnston2021). Therefore, in the absence of any other reason we would expect these detections to be due to variability via refractive interstellar scintillation on longer timescales (e.g., Kumamoto et al. Reference Kumamoto2021), plus diffractive interstellar scintillation on shorter timescales (Rickett Reference Rickett1990; Cordes & Rickett Reference Cordes and Rickett1998) although since not all pulsars have been observed extensively we cannot rule out other effects. To examine this in more detail, in Figure 7 we plot for all known pulsars the predicted modulation index for interstellar scintillation versus the flux density, and highlight those identified here. The predictions are far from perfect. We have assumed a single spectral index for our flux density estimates, and a rough electron density model (there is more than an order of magnitude variation in scattering timescale as a function of dispersion measure; Kumamoto et al. Reference Kumamoto2021) along with a single source velocity for our scintillation estimates. However, the sources identified through variability are among those expected to be brighter and more heavily modulated. We also highlight the difference between the predicted properties (which will reflect the mean flux densities) and the observed properties, which will be biased to high flux densities and modulation levels because of the nature of these detections.
The maximum dispersion measure (DM) in regions 3 and 4 is about $30\,{\rm pc\,cm}^{-3}$ (Yao et al. Reference Yao, Manchester and Wang2017), which is also consistent with the DMs of the pulsars we identified (they span 14– $30\,{\rm pc\,cm}^{-3}$ ). As the scintillation timescale and bandwidth are largely dependent on the DM (e.g., Kumamoto et al. Reference Kumamoto2021), the DM range can be used as a proxy to help identify which other sources will be detected as variable in the remainder of our survey.
4.2.2. Stars
Seven of our highly variable sources are identified with known stars. Two of them (CD–44 1173 and UPM J0409–4435) were found in the circular polarisation search conducted by Pritchard et al. (Reference Pritchard2021), and are discussed there. Our new detections (AB Dor A/C, SCR J0533–4257, UCAC3 89–412162, LEHPM 2-783 and 2MASS J22414436 $-$ 6119311) are discussed below and the images are shown in Figure 9.
VAST J052644.9 $-$ 652650 is identified as AB Dor, a quadruple system composed of a K1V pre-main sequence star + M5.5V and M3.5 + M4.5 pair of binary systems (Close et al. Reference Close, Thatte, Nielsen, Abuter, Clarke and Tecza2007). The pre-main sequence star AB Dor A, is by far the brightest star in the system; it has a rotation period of 0.514 d, and shows optical super-flares (Schmitt et al. Reference Schmitt, Ioannidis, Robrade, Czesla and Schneider2019) and long-term X-ray variability (Lalitha & Schmitt Reference Lalitha and Schmitt2013). VLBI radio observations at 1.4, 8.4, and 22.3 have revealed milliarcsecond radio structure (Climent et al. Reference Climent, Guirado, Azulay, Marcaide, Jauncey, Lestrade and Reynolds2020). The source is detected in VAST-P1 in 11 epochs in Stokes I with a maximum flux density of $7.8\,\mathrm{mJy\,beam}^{-1}$ , and in three epochs in Stokes V showing both right- and left-handed circular polarisation with circular polarisation fraction ranging from 52% to 60%. We speculate that the three events with high circular polarisation are associated with known prominence formation in young active stars such as AB Dor, HK Aqr, BO Mic and PZ Tel (Doyle & Collier Cameron Reference Doyle and Collier Cameron1990; Barnes et al. Reference Barnes, Collier Cameron, James and Donati2001; Jardine et al. Reference Jardine, Collier Cameron, Donati and Pointer2001). AB Dor lies in the Transiting Exoplanet Survey Satellite (TESS; Ricker et al. Reference Ricker2015) southern continuous viewing zone, allowing near continuous optical photometry at 2 min cadence extending over a year (Ioannidis & Schmitt Reference Ioannidis and Schmitt2020).
VAST J053328.0 $-$ 425719 is identified as SCR J0533–4257, an M4.5 dwarf (Riaz et al. Reference Riaz, Gizis and Harvin2006). Ultraviolet activity (Schneider & Shkolnik Reference Schneider and Shkolnik2018) and X-ray flares (Fuhrmeister & Schmitt Reference Fuhrmeister and Schmitt2003) have been observed from this star, though there are no previous radio detections reported in the literature. The source is detected in three epochs. The maximum flux density is $2.83\pm0.24\,\mathrm{mJy\,beam}^{-1}$ . The circular polarisation fraction ranges between 33% and 57%. It was observed using TESS (TIC 302962949) in 2 min cadence during sectors 5 and 6 and in 20 sec cadence in sector 33 (total duration 67.9 d). The TESS data show evidence for modulations at periods of 1.25 and 0.46 d, hinting it may be a binary. Optical flares are frequently seen, most of which have a peak amplitude of a few $\sim\!0.01\,\mathrm{mag}$ but up to 0.2 mag on one occasion.
VAST J201949.8 $-$ 581650 is identified as LEHPM 2–783, an M6 dwarf (Riaz et al. Reference Riaz, Gizis and Harvin2006) with high proper motion ( $\mu_{\alpha}=-23.4$ , $\mu_{\delta}=-341.1\ \mathrm{mas\ yr}^{-1}$ ) (Gaia Collaboration et al. 2018). There are no previous radio detections reported in the literature. The source is only detected in a single epoch with a flux density of $2.50\pm0.27\,\mathrm{mJy\,beam}^{-1}$ and a circular polarisation fraction of 77%. It was observed using TESS (TIC 387220832) in 2 min cadence during sectors 13 and 27 (total duration 50.4 d). The TESS sector 13 data shows evidence for a period at 6.7 d whilst the sector 27 data suggest a longer period of 11.6 d. It is flare-active, with several optical flares having amplitudes greater than 0.5 mag. It has a location on the Gaia colour-magnitude diagram red-ward of the main sequence, indicating it maybe a binary or a young star. The high circulation polarisation of 77% could point towards auroral magnetospheric activity, similar to that seen by Zic et al. (Reference Zic2019) in UV Ceti, a star of similar spectral type.
VAST J212217.5 $-$ 454631 is identified as UCAC3 89–412162, which has a distance of 31.6 pc and with a Gaia colour $(\mathrm{BP}-\mathrm{RP}) =2.49$ and absolute magnitude $\mathrm{MG} =10.0$ (Gaia Collaboration et al. 2018) is consistent with an M3V spectral type (Pecaut & Mamajek Reference Pecaut and Mamajek2013). There are no previous radio detections reported in the literature. This source is also detected in a single epoch with a flux density of $2.31\pm0.25\,\mathrm{mJy\,beam}^{-1}$ and a circular polarisation fraction of 87%. It was observed using TESS (TIC 200645542) in 2 min cadence during sectors 27 and 28 (total duration 41.1 d). There is no evidence for a periodic modulation in the optical light curve or flaring activity. The lack of flaring activity in this object is consistent with reduced or minimum spot coverage. This of course does not mean a lack of flaring, e.g., Schmitt et al. (Reference Schmitt, Ioannidis, Robrade, Czesla and Schneider2019) suggested that large flares only have $\sim\!14\%$ of their energy in the TESS passband. The fact that we detect a radio outburst could suggest that this object may have flares that have a peak flux in the blue, since the contrast over the background emission is much higher at shorter wavelengths and the TESS wavelength band in centred at 7865 Å.
VAST J224144.7 $-$ 611933 is associated with 2MASS J22414436 $-$ 6119311. It has a high proper motion ( $\mu_{\alpha}=150.2$ , $\mu_{\delta}=-87.9\ \mathrm{mas\ yr}^{-1}$ , from Gaia), a colour ( $\mathrm{BP}-\mathrm{RP}=2.81$ ) consistent with a M3.5V spectral type and has a distance of $28.42\pm 0.06\ \mathrm{pc}$ (Gaia Collaboration et al. 2021). It was observed in TESS sectors 1, 27 and 28 (TIC 232064182) in 2 min cadence and shows evidence for a periodic modulation on a period of 0.721 d. Short duration optical flares are seen with amplitudes typically of a few percent, but on one occasion with an amplitude of $\sim\!60\%$ .
All of the stars in our sample show radio emission with high fractional circular polarisation ( $>\!30\%$ ), making this a useful tool for distinguishing these sources from extragalactic transients. They have optical magnitudes between V=17.17 and V=10.9, and span a wide range in brightness and colour. With the exception of SCR J0533 $-$ 4257, these stars have high proper motions ( $>\!100$ mas/yr) suggesting that in the absence of an optical identification, VLBI proper motion measurements are another way in which they can be distinguished from extragalactic sources.
4.2.3. Other variables
We found 14 highly variable sources that were not associated with a known pulsar or star. For these we searched for optical or infrared counterparts in several WISE catalogs, Gaia EDR3 (Gaia Collaboration et al. 2021) and the Dark Energy Survey DR1. Proper motions from Gaia were applied if available. Photometric redshifts were retrieved from the Photometric Redshifts for the Legacy Surveys catalogue (Zhou et al. Reference Zhou2021) when available. For sources that have unclear WISE counterparts due to resolution limits, we used forced-photometry measurements from the unWISE images (Lang Reference Lang2014; Meisner et al. Reference Meisner, Lang and Schlegel2016; Meisner et al. Reference Meisner, Lang and Schlegel2017, for W1 and W2) and WISE images (for W3) provided in the DESI Legacy Imaging Surveys DR8 catalogue (Dey et al. Reference Dey2019).
None of these 14 sources have a detection in circular polarisation within the VAST-P1 data, although many of the limits are not very constraining, with $3\sigma$ Stokes V/I fractional polarisation limits between 11% and 56%. The multi-wavelength properties of these objects are summarised in Table 3. Sources with a WISE counterpart (including some of the stars discussed in Section 4.2.2) are plotted on a WISE colour-colour plot in Figure 10.
Two of the objects are associated with AGN. VAST J031648.1–625825 is coincident with the IR source WISEA J031648.22–625825.5 (and Gaia source EDR3 472209598679248729). The WISE colours of this object (see Figure 10) suggest it is a QSO with a photometric redshiftFootnote t of $z = 1.16\:(0.82, 1.50)$ . There are only two detections in VAST-P1. VAST J212623.6-461124 is coincident with the Gaia source EDR3 657552493938965580, and unWISE colours suggest this is a Seyfert galaxy. There are four detections of this source in VAST-P1. Both of these Gaia sources have parallaxes and proper motions consistent with zero. In the absence of further information it is not possible to determine the cause of the observed variability, but it can likely be explained by scintillation or intrinsic AGN variability.
Six of the sources are associated with galaxies, based on their WISE or DES DR1 identifications. None of these are offset from the central positions of their optical or infrared counterparts and so could be due to nuclear emission, but the limited angular resolution means we cannot rule out other sorts of transients (supernovae, GRBs). Therefore, we also searched for possible associations with known transients at other wavelengths. We checked against catalogues of GRBs detected by the International Gamma-Ray Astrophysics Laboratory (INTEGRAL; Mereghetti et al. Reference Mereghetti, Götz, Borkowski, Walter and Pedersen2003), the Swift Burst Alert Telescope (BAT; Lien et al. Reference Lien2016) and the Fermi Large Area Telescope (LAT; Ajello et al. Reference Ajello2019) and Gamma-ray Burst Monitor (GBM; von Kienlin et al. Reference von Kienlin2020). Possible associations with known supernovae were checked against the Open Supernova CatalogFootnote u (Guillochon et al. Reference Guillochon, Parrent, Kelley and Margutti2017) and supernovae reported in the Transient Name ServerFootnote v. None of the sources are associated with known GRBs or supernovae. Further monitoring during VAST-P2 may provide more insight into the origin of the variability in these objects.
The remaining six sources have no obvious optical/IR counterparts. None are detected in circular polarisation (although again the limiting ratios are not very constraining, with $3\sigma$ Stokes V/I ratios ranging between 24% and 56%). Again, none of these sources are associated with known GRBs or supernovae. With the exception of VAST J204421.6 $-$ 495935, none exhibit a light curve with a temporal rise or decay that is physically consistent with an uncatalogued GRB afterglow or radio supernova. Further observations of these sources are ongoing.
We used the lightcurves and redshifts (where available) to compute brightness temperatures for all of the sources in Table 3 (as in Pietka et al. Reference Pietka, Fender and Keane2015, Stewart et al. Reference Stewart2016, Bhandari et al. Reference Bhandari2018, Bell et al. Reference Bell2019, and others). For a timescale, we took the minimum timescale over which the two-point modulation index (e.g., Mooley et al. Reference Mooley2016) exceeded 0.5. Given the sparsity of our temporal sampling, these timescales do not have good resolution, but range from $\sim\!1-2\,\mathrm{d}$ (e.g., VAST J051452.1 $-$ 440838) to 266 d (VAST J212857.7 $-$ 395953). Using the photometric redshifts (or $z=1$ when not available) we found brightness temperatures of $10^{13}\,$ K for the most slowly-varying sources to $>10^{18}\,$ K for the most quickly-varying. However, we do not believe those timescales to be intrinsic to the sources, as they would violate the Compton catastrophe limit (Kellermann & Pauliny-Toth Reference Kellermann and Pauliny-Toth1969) or the stricter equipartition brightness temperature limit (Readhead Reference Readhead1994). Instead we look at three possibilities: extrinsic variability, Doppler boosting, or coherent emission.
For extrinsic variability, we used NE2001 (Cordes & Lazio Reference Cordes and Lazio2002) to calculate the scintillation transition frequency, $\nu_0$ for extragalactic sources along the lines of sight contained by regions 3 and 4. Both regions have similar values with the values in region 3 spanning $7.8 {-} 12.3\,\mathrm{GHz}$ and the values in region 4 spanning $8.1 - 14.1\,\mathrm{GHz}$ with median values of 9.2 GHz and 9.8 GHz respectively. This quantity can then be used to estimate the expected level of variability caused by refractive scintillation using the scaling relations of Walker (Reference Walker1998). We find that compact sources in both regions will exhibit $\sim\!25\%$ variability at 888 MHz due to refractive scintillation on timescales of $\sim\!10$ days (the all-sky model for refractive scintillation from (Hancock et al. Reference Hancock, Charlton, Macquart and Hurley-Walker2019) predicts a similar timescale, but a mean modulation index about a factor of two higher than that predicted from NE2001). In most cases this is reasonably consistent with what we observe, although as we are selecting the most variable sources we are likely probing the tail of the modulation-index distribution.
However, there are sources that seem inconsistent with this interpretation. For instance, VAST J051452.1 $-$ 440838 and VAST J212758.6 $-$ 470528, which vary by a factor of $>2$ on timescales as fast as 1 d. If such variability were to be intrinsic and not violate the Compton catastrophe limit, then both sources would be nearby ( $\lesssim$ 5 Mpc); one may have then expected that a counterpart should be detectable at other wavelengths. Instead, in these cases, diffractive scintillation (which has higher modulation indices and faster variability; e.g., Walker Reference Walker1998 and (Macquart & de Bruyn Reference Macquart and de Bruyn2006)) may be operating if the source size is very compact. Or, we may be seeing a relativistic jet beamed towards us with a Doppler factor of $\sim\!100$ (e.g., Readhead Reference Readhead1994; Lähteenmäki & Valtaoja Reference Lähteenmäki and Valtaoja1999). Finally, some of the the sources without optical counterparts may be coherently-emitting Galactic objects such as pulsars, where diffractive scintillation is expected and intrinsic variability can be very fast. For most of regions 3 and 4 the most sensitive pulsar survey is the high-latitude portion of the High Time Resolution Universe (HTRU) survey (Keith et al. Reference Keith2010), which is sensitive to flux densities as low as 0.2 mJy at 1.4 GHz for low DMs. This is a factor of 10 below the flux densities of our sources, but especially if they are scintillating strongly or otherwise varying, previous surveys may have missed them. Further observations to probe the spectral energy distribution, small-scale structure, and precise position of the varying source will help distinguish between these scenarios, as can optical spectroscopy to search for signatures of AGN (in those classified as ‘Galaxy’ in Table 3) and pulsar searches (for those classified as ‘?’).
4.3. Variability analysis and transient source density
We found 28 highly variable or transient sources out of 155 071 compact sources detected in at least one epoch of the VAST-P1 survey. This is a lower limit as we used relatively strict variability thresholds (Figure 6) and also exclude any source with neighbours within $30\,$ arcsec (Section 4.1). In particular, about 2% of the surveyed area was not searched for ‘transients’ because it was within 30 arcsec of an existing source, but as many as 8% of sources were not searched for variability as they had neighbours. Future analyses will relax these requirements and so should discover more transient and variable sources. The variability metrics we used in this analysis correspond to a variability of $\sim\!50\%$ . This implies that only an extremely small percentage ( $0.02\%$ ) of sources above $\sim\!1.75$ mJy are variable at this level on timescales of a few months. This is consistent with (although much lower than) upper limits from previous studies at 1.4 GHz that showed that the fraction of variables on timescales between minutes and years, and flux densities above 0.1 mJy is less than $\sim\!1\%$ (Bannister et al. Reference Bannister, Murphy, Gaensler, Hunstead and Chatterjee2011a; Bannister et al. Reference Bannister, Murphy, Gaensler, Hunstead and Chatterjee2011b; Thyagarajan et al. Reference Thyagarajan, Helfand, White and Becker2011; Mooley et al. Reference Mooley, Frail, Ofek, Miller, Kulkarni and Horesh2013) as summarised by Mooley et al. (Reference Mooley2016).
Of our 28 highly variable sources, nine were detected in only a single epoch of our survey (see the sources with ${\rm nD} = 1$ in Table 4) and hence would have been considered ‘transients’ in previous works that calculated transient source densities and rates (e.g., Mooley et al. Reference Mooley2016). Of these nine single-epoch transients, seven are known pulsars or stars, suggesting that a majority of candidates detected in searches for extragalactic transients at this sensitivity will be foreground Galactic sources, even at Galactic latitudes of $|b|\approx 45\deg$ sampled here. These are easy to identify through cross-matching with existing catalogues, or, in some cases by their circularly polarised emission.
The other 19 sources were detected in multiple (2–7) epochs, but some of them could still have been considered ‘transients’ in previous surveys due to the range of temporal scales probed. For instance VAST J041908.3 $-$ 472233 has 4 detections (Figure 8) but they all occur within a 15 d period, with constraining non-detections before and after. So for a typical synchrotron transient with timescale $>30\,$ d at these frequencies (e.g., Metzger et al. Reference Metzger, Williams and Berger2015), it could represent a single event. Even some sources that appear multiple times could be considered ‘transients’ in the context of a 2-epoch transient rate. VAST J031648.1 $-$ 625825 was visible, disappeared, and then reappeared 480 d later. For a 2-epoch survey metric it could then represent 2 independent transients.
For the purposes of comparison with previous work, we have calculated the two-epoch transient source density for extragalactic synchrotron sources, on timescales of $>30\,$ d (Metzger et al. Reference Metzger, Williams and Berger2015; Carbone et al. Reference Carbone, van der Horst, Wijers and Rowlinson2017). Future works will explore longer and shorter timescales as well as more detailed rates calculations. We considered only the unclassified sources from Table 4 and computed two numbers of ‘transients’: total source pairs based on a constraining non-detection (upper limit lower than the lowest detection) combined with a detection, and unique sources, where in both cases all observations had been binned to 30 d samples. The former more accurately represents a 2-epoch snapshot rate, while the latter accounts for multiple detections of individual objects. We found 20 total ‘transients‘ comprising 6 unique sources. The equivalent sky area probed was $41\,034.6\,\mathrm{deg}^2$ , based on unique pairs of observations binned to 30 d samples (Carbone et al. Reference Carbone2016). This then gives a density of $(4.9\pm1.1) \times 10^{-4}\,\mathrm{deg}^{-2}$ (total transients) or $(1.5\pm0.6) \times 10^{-4}\,\mathrm{deg}^{-2}$ (unique sources). These are at a flux density of $>\!1.2\,\mathrm{mJy}$ (based on our median sensitivity and a 5 $\sigma$ detection threshold).
Figure 11 shows this two-epoch transient source density compared to other results (and constraining limits) from the literatureFootnote w.
5. Summary
We have introduced the VAST Pilot Survey and described the survey strategy and observations to date. We outlined the VAST transient detection pipeline, and as a demonstration of its functionality, used it to analyse two regions (3 and 4) of the Phase I Pilot Survey.
In this analysis we found 28 highly variable and transient sources out of a total of 155 071 sources detected in these regions. These sources included seven known pulsars, seven stars (three of which have no previous radio detections), two AGN, six galaxies and six sources yet to be identified.
We found a transient source density of $(1.5\pm0.6) \times 10^{-4}\,\mathrm{deg}^{-2}$ for a flux density limit of $>\!1.2\,\mathrm{mJy}$ and a $5\sigma$ detection threshold. This is consistent with rates measured in other surveys.
Future work on the VAST pipeline will incorporate better methods for reducing the false positive rate, in particular for excluding artefacts due to nearby bright sources. We are also developing a pipeline to enable faster continuum imaging of visibility datasets (following a similar method as that of Wang et al. Reference Wang, Tuntsov, Murphy, Lenc, Walker, Bannister, Kaplan and Mahony2021) so that we can process data as soon as possible after the observations.
In the coming year, we will conduct the Phase II Pilot Survey, incorporating both low-band and mid-band observations. The results presented here are a significant milestone in demonstrating ASKAP’s capability to detect transient sources once VAST begins full survey operations in 2022.
Acknowledgements
TM acknowledges the support of the Australian Research Council through grants FT150100099 and DP190100561. JL and JP are supported by Australian Government Research Training Program Scholarships. DK and AO are supported by NSF grant AST-1816492. SC acknowledges support from the NSF (AAG 1815242). MJ was supported by NSF Physics Frontiers Center award number 1430284. TA acknowledges support from the NSFC (12041301). BMG acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC) through grant RGPIN-2015-05948, and of the Canada Research Chairs program. GRS is supported by NSERC Discovery Grants RGPIN-2016-06569 and RGPIN-2021-04001. SD is the recipient of an Australian Research Council Discovery Early Career Award (DE210101738). AH acknowledges support by the I-Core Program of the Planning and Budgeting Committee and the Israel Science Foundation, and support by ISF grant 647/18. This research was supported by Grant No. 2018154 from the United States-Israel Binational Science Foundation (BSF). AH acknowledges support by the Sir Zelman Cowen Universities Fund.
Parts of this research were conducted by the Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav), project number CE170100004. This research was supported by the Sydney Informatics Hub (SIH), a core research facility at the University of Sydney. This work was also supported by software support resources awarded under the Astronomy Data and Computing Services (ADACS) Merit Allocation Program. ADACS is funded from the Astronomy National Collaborative Research Infrastructure Strategy (NCRIS) allocation provided by the Australian Government and managed by Astronomy Australia Limited (AAL). The Dunlap Institute is funded through an endowment established by the David Dunlap family and the University of Toronto. The Australian Square Kilometre Array Pathfinder is part of the Australia Telescope National Facility which is managed by CSIRO. Operation of ASKAP is funded by the Australian Government with support from the National Collaborative Research Infrastructure Strategy. ASKAP uses the resources of the Pawsey Supercomputing Centre. Establishment of ASKAP, the Murchison Radio-astronomy Observatory and the Pawsey Supercomputing Centre are initiatives of the Australian Government, with support from the Government of Western Australia and the Science and Industry Endowment Fund.
We acknowledge the Wajarri Yamatji as the traditional owners of the Murchison Radio-astronomy Observatory site. Armagh Observatory & Planetarium is core funded by the N. Ireland Executive through the Department for Communities. This work has made use of data from the European Space Agency (ESA) mission Gaia (https://www.cosmos.esa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement. The national facility capability for SkyMapper has been funded through ARC LIEF grant LE130100104 from the Australian Research Council, awarded to the University of Sydney, the Australian National University, Swinburne University of Technology, the University of Queensland, the University of Western Australia, the University of Melbourne, Curtin University of Technology, Monash University and the Australian Astronomical Observatory. SkyMapper is owned and operated by The Australian National University’s Research School of Astronomy and Astrophysics. The survey data were processed and provided by the SkyMapper Team at ANU. The SkyMapper node of the All-Sky Virtual Observatory (ASVO) is hosted at the National Computational Infrastructure (NCI). Development and support the SkyMapper node of the ASVO has been funded in part by Astronomy Australia Limited (AAL) and the Australian Government through the Commonwealth’s Education Investment Fund (EIF) and National Collaborative Research Infrastructure Strategy (NCRIS), particularly the National eResearch Collaboration Tools and Resources (NeCTAR) and the Australian National Data Service Projects (ANDS). This research made use of: Astropy,Footnote x a community-developed core Python package for Astronomy (Astropy Collaboration et al. 2013; Astropy Collaboration et al. 2018); matplotlib (Hunter Reference Hunter2007); and numpy (Harris et al. Reference Harris2020).