Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity

TL;DR

This paper investigates the phase transitions of higher-dimensional AdS black holes in dRGT massive gravity, revealing reentrant phase transitions in dimensions six and above under specific conditions.

Contribution

It demonstrates the existence of reentrant phase transitions in higher-dimensional AdS black holes within dRGT massive gravity, extending understanding of black hole thermodynamics.

Findings

Reentrant phase transitions observed in all dimensions d≥6.

Conditions on coupling coefficients determine the occurrence of RPTs.

Black holes exhibit both small/large and reentrant phase transitions.

Abstract

We study the $P-V$ criticality and phase transition in the extended phase space of anti-de Sitter (AdS) black holes in higher-dimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity, treating the cosmological constant as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Besides the usual small/large black hole phase transitions, the interesting thermodynamic phenomena of reentrant phase transitions (RPTs) are observed for black holes in all $d\geq6$-dimensional spacetime when the coupling coefficients $c_i m^2$ of massive potential satisfy some certain conditions.