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arXiv · 0901.2944

Information geometry of asymptotically AdS black holes

Jan E. Aman·Narit Pidokrajt·John Ward
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Abstract

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.

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Jan E. Aman, Narit Pidokrajt, John Ward. 2009-01-19. Information geometry of asymptotically AdS black holes. https://doi.org/10.1063/1.3141246

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