A new spectral apparent horizon finder for 3D numerical relativity

Simple item page
dc.creatorLin, Lap-Ming
dc.creatorNovak, Jerome
dc.date2007-02-07
dc.date2007-05-02
dc.date.accessioned2026-07-07T10:22:05Z
dc.date.available2026-07-07T10:22:05Z
dc.descriptionWe 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.
dc.descriptionMinor changes and references added. Published in Class. Quantum Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0702038
dc.identifierhttp://arxiv.org/abs/gr-qc/0702038
dc.identifierClass.Quant.Grav.24:2665-2676,2007
dc.identifierdoi:10.1088/0264-9381/24/10/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175396
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleA new spectral apparent horizon finder for 3D numerical relativity
dc.typetext

Files

Collections

arXiv