Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-05-02
Phys.Rev.D78:084002,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 7 figures, version to appear in PRD
Scientific paper
10.1103/PhysRevD.78.084002
We investigate the Born-Infeld-anti-de Sitter black hole (BIAdS) solutions in the four dimensions, which is a nonlinear generalization of the Reissner-Norstr\"om-AdS black hole (RNAdS). We analyze all thermodynamic quantities of the BIAdS in the canonical ensembles, which are characterized by the charge $Q$, the mass $M$, the nonlinear parameter $b$, comparing with those of the RNAdS and Schwarzschild-AdS black hole. We find the forbidden region of $0\le bQ <0.5$ for the presence of a charged BIAdS. We also discuss the Hawking-Page phase transitions in the BIAdS black holes. Here we obtain a new Hawking-Page phase transition for the $bQ=0.5$ critical BIAdS.
Kim Yong-Wan
Myung Yun Soo
Park Young-Jai
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