Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: We investigate the Born-Infeld-anti-de Sitter black hole BIAdS solutions inthe four dimensions, which is a nonlinear generalization of theReissner-Norstr\-om-AdS black hole RNAdS. We analyze all thermodynamicquantities of the BIAdS in the canonical ensembles, which are characterized bythe charge $Q$, the mass $M$, the nonlinear parameter $b$, comparing with thoseof 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 theHawking-Page phase transitions in the BIAdS black holes. Here we obtain a newHawking-Page phase transition for the $bQ=0.5$ critical BIAdS.



Author: Yun Soo Myung, Yong-Wan Kim, Young-Jai Park

Source: https://arxiv.org/



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