Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-02-07
Class.Quant.Grav.24:2665-2676,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Minor changes and references added. Published in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/24/10/012
We present a new spectral-method-based algorithm for finding apparent horizons in three-dimensional space-like hypersurfaces without symmetries. While there are already a wide variety of algorithms for finding apparent horizons, our new algorithm does not suffer from the same weakness as previous spectral apparent horizon finders: namely the monopolar coefficient ($\ell=0$ in terms of the spherical harmonics decomposition) needed to be determined by a root-finding procedure. Hence, this leads to a much faster and more robust spectral apparent horizon finder. The finder is tested with the Kerr-Schild and Brill-Lindquist data. Our finder is accurate and is as efficient as the currently fastest methods developed recently by Schnetter (2003 Class. Quantum Grav. {\bf 20}, 4719) and Thornburg (2004 Class. Quantum Grav. {\bf 21}, 743). At typical resolutions it takes only 0.5 second to find the apparent horizon of a Kerr-Schild black hole with $a=0.9M$ to the accuracy $\sim 10^{-5}$ for the fractional error in the horizon's location on a 2 GHz processor.
Lin Lap Ming
Novak Jerome
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