Information geometry of asymptotically AdS black holes

Details Information geometry of asymptotically AdS black holes Information geometry of asymptotically AdS black holes

2009-01-19

arxiv.org/abs/0901.2944v1

AIP Conf. Proc.1122:181-184, 2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to proceedings of ERE2008, 4 pages

Scientific paper

10.1063/1.3141246

We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordstr\"om 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-Nordstr\"om 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.

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