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

Autor:	R.O. Rodríguez, Héctor Rago, Nelson Pantoja
Rok vydání:	2004
Předmět:	Physics Riemann curvature tensor Field (physics) Point source Statistical and Nonlinear Physics Curvature General Relativity and Quantum Cosmology symbols.namesake Singularity Einstein field equations symbols Differentiable function Mathematical Physics Mathematical physics BTZ black hole
Zdroj:	Journal of Mathematical Physics. 45:1994-2002
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.1699482
Popis:	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.
Databáze:	OpenAIRE
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