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Journal Article

Finite difference schemes for second order systems describing black holes

MPS-Authors

Motamed,  Mohammad
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Babiuc,  Maria C.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szilagyi,  Bela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Kreiss,  H.-O.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winicour,  Jeffrey
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0604010.pdf
(Preprint), 694KB

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Citation

Motamed, M., Babiuc, M. C., Szilagyi, B., Kreiss, H.-O., & Winicour, J. (2006). Finite difference schemes for second order systems describing black holes. Physical Review D, 73: 124008.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4BF5-B
Abstract
In 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.