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arXiv · hep-th/0011097

Black holes with topologically nontrivial AdS asymptotics

R. Aros·R. Troncoso·J. Zanelli
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Abstract

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, allowing for different topological configurations. The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states. In addition, it is shown that these theories are holographically related to [(d-1)/2] different conformal field theories at the boundary.

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R. Aros, R. Troncoso, J. Zanelli. 2001-02-13. Black holes with topologically nontrivial AdS asymptotics. https://doi.org/10.1103/physrevd.63.084015

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