Constant curvature black holes in Einstein-AdS gravity: Conserved quantities

We study physical properties of constant curvature black holes in Einstein–anti-de Sitter (AdS) gravity. These objects, which are locally AdS throughout the space, are constructed from identifications of global AdS spacetime, in a similar fashion as the Banados-Teitelboim-Zanelli black hole in three...

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Bibliographic Details
Published in:Physical review. D 2017-06, Vol.95 (12), Article 124039
Main Authors: Guilleminot, Pablo, Olea, Rodrigo, Petrov, Alexander N.
Format: Article
Language:English
Subjects:
Angular momentum
Black holes
Curvature
Gravitation
Physical properties
Relativity
Spacetime
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Summary:We study physical properties of constant curvature black holes in Einstein–anti-de Sitter (AdS) gravity. These objects, which are locally AdS throughout the space, are constructed from identifications of global AdS spacetime, in a similar fashion as the Banados-Teitelboim-Zanelli black hole in three dimensions. We find that, in dimensions equal to or greater than 4, constant curvature black holes have zero mass and angular momentum. Only in odd dimensions are we able to associate a nonvanishing conserved quantity to these solutions, which corresponds to the vacuum (Casimir) energy of the spacetime.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.124039