Towards a Singularity-Proof Scheme in Numerical Relativity
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
Progress in numerical relativity has been hindered for 30 years because of the difficulties of avoiding spacetime singularities in numerical evolution. We propose a scheme which excises a region inside an apparent horizon containing the singularity. Two major ingredients of the scheme are the use of a horizon-locking coordinate and a finite differencing which respects the causal structure of the spacetime. Encouraging results of the scheme in the spherical collapse case are given.
Cite
@article{arxiv.gr-qc/9210016,
title = {Towards a Singularity-Proof Scheme in Numerical Relativity},
author = {Edward Seidel and Wai-Mo Suen},
journal= {arXiv preprint arXiv:gr-qc/9210016},
year = {2008}
}
Comments
9 pages