Toward stable 3D numerical evolutions of black-hole spacetimes

Details Toward stable 3D numerical evolutions of black-hole spacetimes Toward stable 3D numerical evolutions of black-hole spacetimes

2002-09-30

arxiv.org/abs/gr-qc/0209115v2

Phys.Rev. D66 (2002) 124005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 5 figures. To appear in Phys. Rev. D. Minor additions to text for clarification. Added short paragraph about inner bo

Scientific paper

10.1103/PhysRevD.66.124005

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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