Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008sf2a.conf..291v&link_type=abstract
"SF2A-2008: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: C. Charbonnel, F. Combes
Astronomy and Astrophysics
Astrophysics
Scientific paper
This work focuses on a numerical implementation of the local physics of black hole astrophysical spacetimes. This is done by imposing boundary conditions on a certain formulation of Einstein Equations, namely the fully constrained formalism(FCF) of Bonazzola et al.(2004). We here make use of the Isolated Horizon formalism of Ashtekar et al. (1999), aiming at a local characterization of a black hole region. This horizon can be seen as an intuitive physical object (contrary to, e.g., the event horizon). We thus solve the Einstein Equations, using 3+1 formalism, on 3-slices of spacetime excised by marginally trapped surfaces. We are then able to recover the Kerr spacetime outside the black hole region only by prescribing that our grid boundary behaves indeed like an Isolated Horizon. Contrary to some earlier works, we take into account the non-conformal part of our 3-metric, making use of a no-boundary method on the horizon. Our spacetime is then perfectly stationary.We compare our results with previous ones, and show accuracy results, involving among others a verification of the virial theorem, and a refined Penrose inequality studied in Jaramillo et al. (2007).
Novak Jan
Vasset Nicolas
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