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Published December 15, 2002 | Published + Submitted
Journal Article Open

Toward stable 3D numerical evolutions of black-hole spacetimes

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 multiparameter 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.

Additional Information

© 2002 The American Physical Society. Received 30 September 2002; published 17 December 2002. Some computations were performed on the IA-32 Linux cluster at NCSA. This research was supported in part by NSF grant PHY-0099568 and NASA grant NAG5-10707 at California Institute of Technology and NSF grants PHY-9800737 and PHY-9900672 at Cornell University.

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Published - SCHEprd02.pdf

Submitted - 0209115.pdf

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August 21, 2023
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