2009/01/01 by Jan E. Åman, Jan E. Aman, Narit Pidokrajt +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #gr-qc
paper · pdf · doi:10.1063/1.3141246
published as AIP Conf. Proc.1122:181-184, 2009 · Contribution to proceedings of ERE2008, 4 pages
openalex publication_date 2009/01/01 · arxiv created 2009/01/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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.