Finite difference schemes for second order systems describing black holes

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.124008· OSTI ID:20774891

Motamed, Mohammad; Kreiss, H-O ^[1]; Babiuc, M; Winicour, J ^[2]; Szilagyi, B ^[2]

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1. NADA, Royal Institute of Technology, 10044 Stockholm (Sweden)
2. Albert Einstein Institute, Max Planck Gesellschaft, Am Muehlenberg 1, D-14476 Golm (Germany)

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.

• OSTI ID: 20774891
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 12; Other Information: DOI: 10.1103/PhysRevD.73.124008; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BLACK HOLES
EINSTEIN FIELD EQUATIONS
FINITE DIFFERENCE METHOD
GENERAL RELATIVITY THEORY
PERFORMANCE
SINGULARITY
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS