Toward stable 3D numerical evolutions of black-hole spacetimes
General Relativity and Quantum Cosmology
2009-11-07 v2
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
Cite
@article{arxiv.gr-qc/0209115,
title = {Toward stable 3D numerical evolutions of black-hole spacetimes},
author = {Mark A. Scheel and Lawrence E. Kidder and Lee Lindblom and Harald P. Pfeiffer and Saul A. Teukolsky},
journal= {arXiv preprint arXiv:gr-qc/0209115},
year = {2009}
}
Comments
4 pages, 5 figures. To appear in Phys. Rev. D. Minor additions to text for clarification. Added short paragraph about inner boundary dependence