Reentrant Phase Transitions and Triple Points of Topological AdS Black Holes in Born-Infeld-Massive Gravity

Zhang, Ming  (Faculty of Science, Xi’an Aeronautical University, Xi’an 710077, China) (National Joint Engineering Research Center of Special Pump System Technology, Xi’an 710077, China) ; Zou, De-Cheng (Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China) ; Yue, Rui-Hong (Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China)

06 November 2017

Abstract: Motivated by recent developments of black hole thermodynamics in de Rham, Gabadadze, and Tolley (dRGT) massive gravity, we study the critical behaviors of topological Anti-de Sitter (AdS) black holes in the presence of Born-Infeld nonlinear electrodynamics. Here the cosmological constant appears as a dynamical pressure of the system and its corresponding conjugate quantity is interpreted as thermodynamic volume. This shows that, besides the Van der Waals-like SBH/LBH phase transitions, the so-called reentrant phase transition (RPT) appears in four-dimensional space-time when the coupling coefficients cim2 of massive potential and Born-Infeld parameter b satisfy some certain conditions. In addition, we also find the triple critical points and the small/intermediate/large black hole phase transitions for d=5 .


Published in: Advances in High Energy Physics 2017 (2017) 3819246
Published by: Hindawi
DOI: 10.1155/2017/3819246
arXiv: 1707.04101
License: CC-BY-3.0



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