Finite difference schemes for second order systems describing black holes

Simple item page
dc.creatorMotamed, Mohammad
dc.creatorBabiuc, M.
dc.creatorSzilagyi, B.
dc.creatorKreiss, H-O.
dc.creatorWinicour, J.
dc.date2006-04-04
dc.date.accessioned2026-07-07T11:43:02Z
dc.date.available2026-07-07T11:43:02Z
dc.descriptionIn the harmonic description of general relativity, the principle part of Einstein's equations reduces to 10 curved space wave equations for the componenets of the space-time metric. We present theorems regarding the stability of several evolution-boundary algorithms for such equations when treated in second order differential form. The theorems apply to a model black hole space-time consisting of a spacelike inner boundary excising the singularity, a timelike outer boundary and a horizon in between. These algorithms are implemented as stable, convergent numerical codes and their performance is compared in a 2-dimensional excision problem.
dc.description19 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0604010
dc.identifierhttp://arxiv.org/abs/gr-qc/0604010
dc.identifierPhys.Rev.D73:124008,2006
dc.identifierdoi:10.1103/PhysRevD.73.124008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201097
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFinite difference schemes for second order systems describing black holes
dc.typetext

Files

Collections

arXiv