Towards a Singularity-Proof Scheme in Numerical Relativity

Details Towards a Singularity-Proof Scheme in Numerical Relativity Towards a Singularity-Proof Scheme in Numerical Relativity

1992-10-28

arxiv.org/abs/gr-qc/9210016v1

Phys.Rev.Lett.69:1845-1848,1992

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

10.1103/PhysRevLett.69.1845

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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