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 ${c}_{i}{m}^{\mathrm{2}}$ 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 $d=\mathrm{5}$ .

Published in: Advances in High Energy Physics 2017 (2017) 3819246