Modeling the Black Hole Excision Problem

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dc.creatorSzilagyi, B.
dc.creatorKreiss, H-O.
dc.creatorWinicour, J.
dc.date2004-12-21
dc.date2005-04-08
dc.date.accessioned2026-07-07T11:42:58Z
dc.date.available2026-07-07T11:42:58Z
dc.descriptionWe analyze the excision strategy for simulating black holes. The problem is modeled by the propagation of quasi-linear waves in a 1-dimensional spatial region with timelike outer boundary, spacelike inner boundary and a horizon in between. Proofs of well-posed evolution and boundary algorithms for a second differential order treatment of the system are given for the separate pieces underlying the finite difference problem. These are implemented in a numerical code which gives accurate long term simulations of the quasi-linear excision problem. Excitation of long wavelength exponential modes, which are latent in the problem, are suppressed using conservation laws for the discretized system. The techniques are designed to apply directly to recent codes for the Einstein equations based upon the harmonic formulation.
dc.description21 pages, 14 postscript figures, minor contents update
dc.identifierhttps://arxiv.org/abs/gr-qc/0412101
dc.identifierhttp://arxiv.org/abs/gr-qc/0412101
dc.identifierPhys.Rev.D71:104035,2005
dc.identifierdoi:10.1103/PhysRevD.71.104035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201077
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleModeling the Black Hole Excision Problem
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