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Advances in High Energy Physics
Volume 2017 (2017), Article ID 3819246, 11 pages
https://doi.org/10.1155/2017/3819246
Research Article

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

1Faculty of Science, Xi’an Aeronautical University, Xi’an 710077, China
2National Joint Engineering Research Center of Special Pump System Technology, Xi’an 710077, China
3Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China

Correspondence should be addressed to Ming Zhang

Received 6 July 2017; Revised 13 September 2017; Accepted 12 October 2017; Published 6 November 2017

Academic Editor: Hai-Qing Zhang

Copyright © 2017 Ming Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

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 of massive potential and Born-Infeld parameter satisfy some certain conditions. In addition, we also find the triple critical points and the small/intermediate/large black hole phase transitions for .