Thermodynamic of a rotating and Non-linear magnetic-charged black hole in the quintessence field

TL;DR

This paper investigates the thermodynamic properties and phase transitions of a rotating, non-linear magnetic-charged black hole in a quintessence field, revealing second-order phase transitions influenced by rotation and magnetic charge.

Contribution

It introduces a thermodynamic analysis of a novel black hole model with rotation, non-linear magnetic charge, and quintessence, highlighting phase transition behaviors and parameter effects.

Findings

Black hole mass decreases during phase transition.

Temperature can increase from negative absolute values.

Second-order phase transition shifts with rotation and magnetic charge.

Abstract

We purpose an approach for the thermodynamic analysis of rotating and non-linear magnetic-charged black hole with quintessence. Accordingly, we compute various thermodynamics quantities of the black hole, such as mass, temperature, potential provided from the magnetic charge, and the heat capacity. Moreover, we study phase transitions of this black hole, analyzing the plot of its heat capacity. Then, we have shown that the black hole mass would have a phase of decrease, while the temperature increases from negative absolute temperatures. From the behavior of the heat capacity, we point out that the black hole undergoes to a second-order phase transition, which is shifted towards the higher values of entropy as we increase the rotating parameter $a$ or the magnetic parameter $Q$.