Curvature singularity of the distributional Bañados, Teitelboim, and Zanelli black hole geometry

For the nonrotating Bañados, Teitelboim, and Zanelli black hole, the distributional curvature tensor field is found. It is shown to have singular parts proportional to a δ-distribution with support at the origin. This singularity is related, through Einstein field equations, to a point source. Coord...

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Bibliographic Details
Published in:Journal of mathematical physics 2004-05, Vol.45 (5), p.1994-2002
Main Authors: Pantoja, N. R., Rago, H., Rodrı́guez, R. O.
Format: Article
Language:English
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Summary:For the nonrotating Bañados, Teitelboim, and Zanelli black hole, the distributional curvature tensor field is found. It is shown to have singular parts proportional to a δ-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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1699482