Thermodynamics of phantom Reissner-Nordstrom-AdS black hole

Details Thermodynamics of phantom Reissner-Nordstrom-AdS black hole Thermodynamics of phantom Reissner-Nordstrom-AdS black hole

2012-02-13

arxiv.org/abs/1202.2830v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 11 figures

Scientific paper

We obtain a new solution of the Einstein-anti-Maxwell theory with cosmological constant, called anti-Reissner-Nordstrom-(A)de Sitter (anti-RN-(A)dS) solution. The basic properties of this solution were reviewed. Its thermodynamics is consistently established, with the extreme cases and phase transitions, making the analysis through two methods, the usual and that of Geometrothermodynamics. The analysis by Geometrothermodynamics does not provide us a result in agreement with the usual method, and by the specific heat. We establish local and global thermodynamic stability of anti-RN-AdS solution through the specific heat and the canonical and grand-canonical ensembles.

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