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

Abstract:

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. © 2004 American Institute of Physics.

Año de publicación:

2004

Keywords:

Fuente:

scopus