Curvature singularity of the distributional BTZ black hole geometry

Details Curvature singularity of the distributional BTZ black hole geometry Curvature singularity of the distributional BTZ black hole geometry

2002-05-21

arxiv.org/abs/gr-qc/0205094v1

J.Math.Phys. 45 (2004) 1994-2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 7 pages

Scientific paper

10.1063/1.1699482

For the non-rotating BTZ black hole, the distributional curvature tensor field is found. It is shown to have singular parts proportional to a $\delta$-distribution with support at the origin. This singularity is related, through Einstein field equations, to a point source. Coordinate invariance and independence on the choice of differentiable structure of the results are addressed.

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