Topological Black Holes in Anti-de Sitter Space
High Energy Physics - Theory
2009-10-31 v3
Abstract
We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or negative curvature. The mass, temperature, and entropy are calculated. Using the correspondence with conformal field theory, the phase structure of the solutions is examined, and used to determine the correct mass dependence of the Bekenstein-Hawking entropy.
Keywords
Cite
@article{arxiv.hep-th/9808032,
title = {Topological Black Holes in Anti-de Sitter Space},
author = {Danny Birmingham},
journal= {arXiv preprint arXiv:hep-th/9808032},
year = {2009}
}
Comments
10 pages, Latex, v2 Computation of action corrected, conclusions unchanged, references added, v3 To appear in Classical and Quantum Gravity