An explicit harmonic code for black-hole evolution using excision

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dc.creatorSzilagyi, Bela
dc.creatorPollney, Denis
dc.creatorRezzolla, Luciano
dc.creatorThornburg, Jonathan
dc.creatorWinicour, Jeffrey
dc.date2006-12-22
dc.date2007-03-22
dc.date.accessioned2026-07-07T10:37:09Z
dc.date.available2026-07-07T10:37:09Z
dc.descriptionWe describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the well-posedness and numerical stability of the initial-boundary problem for the quasilinear wave equation. After a discussion of the equations solved and of the techniques employed, we present a series of testbeds carried out to validate the code. Such tests range from the evolution of isolated black holes to the head-on collision of two black holes and then to a binary black hole inspiral and merger. Besides assessing the accuracy of the code, the inspiral and merger test has revealed that individual apparent horizons can touch and even intersect. This novel feature in the dynamics of the marginally trapped surfaces is unexpected but consistent with theorems on the properties of apparent horizons.
dc.description18 pages, 6 postscript figures, uses iopams.sty, iopart10.clo, iopart12.clo, iopart.cls, setstack.sty
dc.identifierhttps://arxiv.org/abs/gr-qc/0612150
dc.identifierhttp://arxiv.org/abs/gr-qc/0612150
dc.identifierClass.Quant.Grav.24:S275-S293,2007
dc.identifierdoi:10.1088/0264-9381/24/12/S18
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180284
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAn explicit harmonic code for black-hole evolution using excision
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