### Resumen

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.

Idioma original | English |
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Número de artículo | 064046 |

Publicación | Physical Review D |

Volumen | 97 |

N.º | 6 |

DOI | |

Estado | Published - 15 mar 2018 |

### Huella dactilar

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Citar esto

*Physical Review D*,

*97*(6), [064046]. https://doi.org/10.1103/PhysRevD.97.064046

}

*Physical Review D*, vol. 97, n.º 6, 064046. https://doi.org/10.1103/PhysRevD.97.064046

**Constant curvature black holes in Einstein AdS gravity : Euclidean action and thermodynamics.** / Guilleminot, Pablo; Olea, Rodrigo; Petrov, Alexander N.

Resultado de la investigación: Article

TY - JOUR

T1 - Constant curvature black holes in Einstein AdS gravity

T2 - Euclidean action and thermodynamics

AU - Guilleminot, Pablo

AU - Olea, Rodrigo

AU - Petrov, Alexander N.

PY - 2018/3/15

Y1 - 2018/3/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044821370&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.97.064046

DO - 10.1103/PhysRevD.97.064046

M3 - Article

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 064046

ER -