Improved numerical stability of stationary black hole evolution calculations
General Relativity and Quantum Cosmology
2009-11-07 v2 Astrophysics
Abstract
We experiment with modifications of the BSSN form of the Einstein field equations (a reformulation of the ADM equations) and demonstrate how these modifications affect the stability of numerical black hole evolution calculations. We use excision to evolve both non-rotating and rotating Kerr-Schild black holes in octant and equatorial symmetry, and without any symmetry assumptions, and obtain accurate and stable simulations for specific angular momenta J/M of up to about 0.9M.
Cite
@article{arxiv.gr-qc/0209066,
title = {Improved numerical stability of stationary black hole evolution calculations},
author = {Hwei-Jang Yo and Thomas W. Baumgarte and Stuart L. Shapiro},
journal= {arXiv preprint arXiv:gr-qc/0209066},
year = {2009}
}
Comments
13 pages, 11 figures, 1 typo in Eq. (20) corrected