Topological Black Holes in Anti-de Sitter Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex, v2 Computation of action corrected, conclusions unchanged, references added, v3 To appear in Classical and Qu

Scientific paper

10.1088/0264-9381/16/4/009

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.

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