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Toward stable 3D numerical evolutions of black-hole spacetimes

Mark A. Scheel·Lawrence E. Kidder·Lee Lindblom·Harald P. Pfeiffer·Saul A. Teukolsky
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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.

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Mark A. Scheel, Lawrence E. Kidder, Lee Lindblom, Harald P. Pfeiffer, Saul A. Teukolsky. 2002-10-23. Toward stable 3D numerical evolutions of black-hole spacetimes. https://doi.org/10.1103/physrevd.66.124005

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