Topological black holes in anti-de Sitter space

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.