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A numerical study of Penrose-like inequalitiesin a family of axially symmetric initial data

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
J.L. Jaramillo ,
N. Vasset  and
M. Ansorg
J.L. Jaramillo
Affiliation:
Instituto de Astrofísica de Andalucía, CSIC, Apartado Postal 3004, Granada 18080, Spain Laboratoire de l'Univers et de ses Théories, UMR 8102 du CNRS, Observatoire de Paris, 92195 Meudon Cedex, France
N. Vasset
Affiliation:
Laboratoire de l'Univers et de ses Théories, UMR 8102 du CNRS, Observatoire de Paris, 92195 Meudon Cedex, France
M. Ansorg
Affiliation:
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany
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Abstract

Our current picture of black hole gravitational collapserelies on two assumptions: i) the resultingsingularity is hidden behind an event horizon– weak cosmic censorship conjecture – and ii) spacetimeeventually settles down to a stationarity state.In this setting,it follows that the minimal area containing an apparent horizonis bound by the square of the total ADM mass (Penrose inequality conjecture).Following Dain et al. (2002), we construct numerically a familyof axisymmetric initial data with one or several marginallytrapped surfaces. Penrose and related geometric inequalitiesare discused for these data. As a by-product, it is shownhow Penrose inequality can be usedas a diagnosis for an apparent horizon finder numerical routine.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 257 - 260
Copyright
© EAS, EDP Sciences, 2008

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References

Ansorg, M., 2005, Phys. Rev. D, 72, 024018 CrossRef
Ansorg, M., & Pfister, H., 2007, preprint [arXiv:0708.4196] [gr-qc]
Booth, I., & Fairhurst, S., 2007, preprint [arXiv:0708.2209] [gr-qc]
Bray, H.L., 2001, J., Diff. Geom, 59, 177 CrossRef
Dain, S., 2007, preprint [arXiv:0707.3118v1] [gr-qc]
Dain, S., Lousto, C., & Takahashi, R., 2002, Phys. Rev. D, 65, 104038 CrossRef
Huisken, G., & Ilmanen, T., 2001, J. Diff. Geom., 59, 353 CrossRef
Lin, L.M., & Novak, J., 2007, Class. Quantum. Grav., 24, 2665 CrossRef
Penrose, R., 1973, Annals, N.Y., Acad. Sci., 224, 125-134 CrossRef