Lap-Ming Lin and Jérôme Novak 2007 Class. Quantum Grav. 24 2665 doi:10.1088/0264-9381/24/10/012
Lap-Ming Lin1,2,3 and Jérôme Novak3
Show affiliationsWe 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 (ℓ = 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 as efficient as the currently fastest methods recently developed by Schnetter (2003 Class. Quantum Grav. 20 4719) and Thornburg (2004 Class. Quantum Grav. 21 743). At typical resolutions it takes only 0.5 s to find the apparent horizon of a Kerr–Schild black hole with a = 0.9M to the accuracy ~10−5 for the fractional error in the horizon's location on a 2 GHz processor.
02.40.-k Geometry, differential geometry, and topology
Issue 10 (21 May 2007)
Received 6 February 2007, in final form 23 March 2007
Published 30 April 2007
Lap-Ming Lin and Jérôme Novak 2007 Class. Quantum Grav. 24 2665
Lap-Ming Lin and Jérôme Novak 2006 Class. Quantum Grav. 23 4545
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