Constant Curvature Black Holes

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  • 16 March 1997
Abstract
Constant curvature black holes are constructed by identifying points in anti-de Sitter space. In n dimensions, the resulting topology is R^{n-1} * S_1, as opposed to the usual R^2 * S_{n-2} Schwarzshild black hole, and the corresponding causal structure is displayed by a (n-1)-dimensional picture, as opposed to the usual 2-dimensional Kruskal diagram. The five dimensional case is analyzed in detail. Due to the non-standard asymptotic behavior of the metric, the Einstein-Hilbert action does not provide finite charges associated to the asymptotic symmetries. It is shown that when embedded in a N=4 supergravity theory, finite charges can be defined. The thermodynamic of the solution is briefly discussed.

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