Finite Difference Schemes for Second Order Systems Describing Black Holes
2006 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 73, no 12, 124008-1-124008-14 p.Article in journal (Refereed) Published
In the harmonic description of general relativity, the principal part of Einstein's equations reduces to 10 curved space wave equations for the components 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.
Place, publisher, year, edition, pages
2006. Vol. 73, no 12, 124008-1-124008-14 p.
wave-equation, numerical relativity, general-relativity, approximations, stability
Astronomy, Astrophysics and Cosmology Computational Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-8300DOI: 10.1103/PhysRevD.73.124008ISI: 000238698900048ScopusID: 2-s2.0-33744907537OAI: oai:DiVA.org:kth-8300DiVA: diva2:13584
QC 201008302008-04-302008-04-302010-08-30Bibliographically approved