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arXiv · 1712.09055

Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics

Pablo Guilleminot·Rodrigo Olea·Alexander N. Petrov
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Abstract

We compute the Euclidean action for constant curvature black holes (CCBHs), as an attempt to associate thermodynamic quantities to these solutions of Einstein anti-de Sitter (AdS) gravity. CCBHs are gravitational configurations obtained by identifications along isometries of a $D$-dimensional globally AdS space, such that the Riemann tensor remains constant. Here, these solutions are interpreted as extended objects, which contain a $(D-2)$-dimensional de-Sitter brane as a subspace. Nevertheless, the computation of the free energy for these solutions shows that they do not obey standard thermodynamic relations.

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Pablo Guilleminot, Rodrigo Olea, Alexander N. Petrov. 2017-12-25. Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics. https://doi.org/10.1103/physrevd.97.064046

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