The growing number of black hole binary (BHB) mergers detected by the Laser Interferometer Gravitational-Wave Observatory have the potential to enable an unprecedented characterisation of the physical processes and astrophysical conditions that govern the formation of compact binaries. In this paper, we focus on investigating the dynamical formation of BHBs in dense star clusters through a state-of-the-art set of 58 direct N-body simulations with N $\leqslant200\,000$ particles which include stellar evolution, gravitational braking, orbital decay through gravitational radiation, and galactic tidal interactions. The simulations encompass a range of initial conditions representing typical young globular clusters, including the presence of primordial binaries. The systems are simulated for $\sim 12$ Gyr. The dataset yields 117 BHB gravitational wave (GW) events, with 97 binaries merging within their host cluster and 20 merging after having been ejected. Only 8% of all ejected BHBs merge within the age of the Universe. Systems in this merging subset tend to have smaller separations and larger eccentricities, as this combination of parameters results in greater emission of gravitational radiation. We confirm known trends from Monte Carlo simulations, such as the anti-correlation between the mass of the binary and age of the cluster. In addition, we highlight for the first time a difference at low values of the mass ratio distribution between in-cluster and ejected mergers. However, the results depend on assumptions on the strength of GW recoils, thus in-cluster mergers cannot be ruled out at a significant level of confidence. A more substantial catalogue of BHB mergers and a more extensive library of N-body simulations are needed to constrain the origin of the observed events.

Magnetars are neutron stars with exceptionally strong dipole magnetic fields which are observed to display a range of x-ray flaring behavior, but the flaring mechanism is not well understood. The third observing run of Advanced LIGO and Virgo extended from April 1, 2019 to March 27, 2020, and contained x-ray flares from known magnetar SGR 1935+2154, as well as the newly-discovered magnetar, Swift J1818-1607. We search for gravitational waves coincident with these magnetar flares with minimally modeled, coherent searches which specifically target both short-duration gravitational waves produced by excited f-modes in the magnetar’s core, as well as long-duration gravitational waves motivated by the Quasi-Periodic Oscillations observed in the tails of giant flares. In this talk, we report on the methods and sensitivity estimates of there searches, and the astrophysical implications.

The early phase of coalescence of supermassive black hole binaries (SMBHBs) from their host galaxies provides a guaranteed source of low-frequency gravitational wave (GW) radiation by pulsar timing observations. Nowadays, SMBHBs are ubiquitous in the nuclei of galaxies. A latest sample of close galaxy pairs has been released from the Sloan Digital Sky Survey (SDSS) Data. A binary population synthesis (BPS) approach has been applied to study the characteristics of clusters and galaxies. Here we report how BPS, using SDSS results, can be used to determine the GW radiation from SMBHBs. In this study we show numerical results under the assumption that SMBHBs formed through the merger of two galaxies and give the waveform evolution using post-Newtonian approximation methods. Based on the sensitivity of the International Pulsar Timing Array (IPTA) and Square Kilometer Array (SKA) detectors, we show that the value of strain amplitude h can be changed from about 10−14 to 10−15 during the observation of 20 years, which can be considered as a precise evolution.

Globular clusters (GCs) is dominated by behaviors of high-mass components such as neutron stars (NSs) and black holes (BHs). In this work, we perform direct N-body simulations of a GC assuming two BH masses. We used the BH masses of 10 and 20 M⊙ with total math ratio between those two populations is assumed to be 2:1 and 5:1. Our results show that the heavier BHs (20 M⊙) are depleted in the early stage of cluster evolution. The existence of heavier BH components increase the retention rate of lighter BHs during the cluster evolution. About 30% of ejected BHs are in binaries.