Singularity Avoidance in Numerical Black Hole Spacetimes
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
Spacetime singularities in numerical relativity can be avoided by excising a region of the computational domain from inside the apparent horizon. We report on results of such a scheme that is based on using ({\it i}) a horizon locking coordinate which locks the coordinate system to the geometry, and ({\it ii}) a finite differencing scheme which respects the causal structure of the spacetime. With this technique a black hole can be evolved accurately well beyond , where is the black hole mass.
Cite
@article{arxiv.gr-qc/9412055,
title = {Singularity Avoidance in Numerical Black Hole Spacetimes},
author = {Peter Anninos and Greg Daues and Joan Masso and Edward Seidel and Wai-Mo Suen},
journal= {arXiv preprint arXiv:gr-qc/9412055},
year = {2007}
}
Comments
3 pages, uuencoded gziped ps file including 1 Fig. Also available at http://jean-luc.ncsa.uiuc.edu/Papers/ To appear in the MG7 proceedings