Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity

TL;DR

This paper explores complex phase behaviors of four-dimensional topological AdS black holes in Born-Infeld-massive gravity, revealing reentrant phase transitions and triple points influenced by nonlinear electrodynamics and massive gravity parameters.

Contribution

It introduces the study of reentrant phase transitions and triple points in topological AdS black holes within Born-Infeld-massive gravity, extending black hole thermodynamics understanding.

Findings

Reentrant phase transitions observed under specific parameter conditions.

Identification of triple points in the phase diagram.

Presence of Van der Waals-like phase transitions.

Abstract

Motivated by recent developments of black hole thermodynamics in de Rham, Gabadadze and Tolley(dRGT) massive gravity, we study the critical behaviors of four-dimensional topological Anti-de Sitter(AdS) black holes in the presence of Born-Infeld nonlinear electrodynamics by treating the cosmological constant as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. It shows that besides the Van der Waals-like SBH/LBH phase transitions appears, the so-called reentrant phase transitions (RPTs) are also observed when the coupling coefficients $c_i m^2$ of massive potential and Born-Infeld parameter $b$ satisfy some certain conditions.