Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole

TL;DR

This paper investigates the thermodynamic phase transitions of a novel 4D nonminimal Maxwell-AdS black hole, revealing Van der Waals-like behavior and Hawking Page transitions through a perturbative solution and extended phase space analysis.

Contribution

It introduces a new black hole solution with nonminimal coupling and analyzes its thermodynamics, highlighting phase transition behaviors not previously studied in this context.

Findings

Black hole exhibits Van der Waals-like phase transitions.

Hawking Page transition dominates at small charge and potential.

Thermodynamics analyzed in both canonical and grand canonical ensembles.

Abstract

In this paper, we derive a black hole solution within the Einstein Maxwell framework incorporating a nonminimal coupling between the Ricci tensor and the Maxwell field strength tensor, using a perturbative approach. We subsequently explore the thermodynamic phase transitions of the black hole in an extended phase space, analyzing both canonical and grand canonical ensembles. Our findings reveal that the system exhibits Van der Waals like behavior in both ensembles. Moreover, for sufficiently small values of electric charge and Maxwell potential, the thermodynamics is dominated by a Hawking Page phase transition.