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arXiv · gr-qc/9210016

Towards a Singularity-Proof Scheme in Numerical Relativity

Edward Seidel·Wai-Mo Suen
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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.

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Edward Seidel, Wai-Mo Suen. 1992-10-28. Towards a Singularity-Proof Scheme in Numerical Relativity. https://doi.org/10.1103/physrevlett.69.1845

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