Information geometry of asymptotically AdS black holes

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We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordström Anti-de Sitter in four dimensions and the BTZ black hole. It is found that the Anti-de Sitter space renders the geometry nontrivial (c.f. the Reissner-Nordström black hole in asymptotically flat background). The BTZ black hole's thermodynamic geometry is trivial despite the fact that it is characterized by the (negative) cosmological constant. As a matter of curiosity we compute thermodynamic geometry of these black holes regarding the cosmological constant as a true parameter but no physically significant results can be derived.
Contribution to proceedings of ERE2008, 4 pages

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/230297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2944
 http://arxiv.org/abs/0901.2944
 AIP Conf. Proc.1122:181-184, 2009
 doi:10.1063/1.3141246

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arXiv