Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics
| Autor: | Pablo Guilleminot, Alexander N. Petrov, Rodrigo Olea |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
High Energy Physics - Theory Riemann curvature tensor 010308 nuclear & particles physics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Curvature 01 natural sciences General Relativity and Quantum Cosmology Black hole Constant curvature Gravitation symbols.namesake High Energy Physics - Theory (hep-th) De Sitter universe 0103 physical sciences symbols Einstein Brane 010306 general physics Mathematical physics |
| DOI: | 10.48550/arxiv.1712.09055 |
| Popis: | 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. Comment: 13 pages, no figures, one reference added, final version for PRD |
| Databáze: | OpenAIRE |
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