Toward stable 3D numerical evolutions of black-hole spacetimes

Preprint

23 October 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0209115

Abstract

Three dimensional (3D) numerical evolutions of static black holes with excision are presented. These evolutions extend to about 8000M, where M is the mass of the black hole. This degree of stability is achieved by using growth-rate estimates to guide the fine tuning of the parameters in a multi-parameter family of symmetric hyperbolic representations of the Einstein evolution equations. These evolutions were performed using a fixed gauge in order to separate the intrinsic stability of the evolution equations from the effects of stability-enhancing gauge choices.

Keywords

NUMERICAL EVOLUTIONS
EVOLUTION EQUATIONS
HOLE SPACETIMES
STATIC BLACK
BLACK HOLE
STABLE 3D
STABILITY

All Related Versions

Version 1, 2002-09-30, ArXiv
Version 2, 2002-10-23, ArXiv
Published version: Physical Review D, 66 (12), 124005.

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