Reentrant phase transitions and van der Waals behaviour for hairy black holes

TL;DR

This paper explores the thermodynamic behavior of five-dimensional hairy AdS black holes, revealing van der Waals behavior and reentrant phase transitions, marking the first such example without higher curvature corrections.

Contribution

It demonstrates van der Waals behavior and reentrant phase transitions in five-dimensional hairy black holes without higher curvature terms.

Findings

Van der Waals behavior observed in both charged and uncharged cases.

Reentrant phase transitions identified in charged black holes.

First example of such transitions in five-dimensional systems without higher curvature corrections.

Abstract

We study the extended phase space thermodynamics for hairy AdS black hole solutions to Einstein-Maxwell-$\Lambda$ theory conformally coupled to a scalar field in five dimensions. We find these solutions to exhibit van der Waals behaviour in both the charged/uncharged cases, and reentrant phase transitions in the charged case. This is the first example of reentrant phase transitions in a five dimensional gravitational system which does not include higher curvature corrections.