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Phys. Rev. D 66, 124005 (2002) [4 pages]

Toward stable 3D numerical evolutions of black-hole spacetimes

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Mark A. Scheel1, Lawrence E. Kidder2, Lee Lindblom1, Harald P. Pfeiffer2, and Saul A. Teukolsky2
1Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125
2Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853

Received 30 September 2002; published 17 December 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.124005
DOI:
10.1103/PhysRevD.66.124005
PACS:
04.25.Dm, 02.30.Mv, 02.60.Cb, 04.20.Ex