Phase Transition of charged Rotational Black Hole and Quintessence

TL;DR

This paper investigates the thermodynamics and phase transitions of Kerr-Newman-AdS black holes in quintessence matter, analyzing how rotation, pressure, and quintessence parameters influence critical points and phase behavior.

Contribution

It provides a detailed analysis of phase transitions in charged rotating black holes with quintessence, highlighting the effects of various parameters on critical points and thermodynamic stability.

Findings

Type one phase transition occurs for P<0.42 and a<0.5.

Critical points shift with changes in pressure, rotation, and quintessence parameters.

Decreasing pressure lowers the first critical point's entropy and raises the second's.

Abstract

In this paper, we calculate thermodynamical quantity of Kerr-Newman-AdS black hole solution in quintessence matter. Then, we show that how the rotation and cosmological parameters effect to the thermodynamics properties of black hole. Also, we investigate both types of phase transition for different values of $\omega$ parameter in extended phase space. We notice that type one of phase transition occurs for $P<0.42$ and $a<0.5$. And also we see that the phase transition point shifts to higher entropy when pressure $P$, rotation parameter $a$ and $\alpha$ increase. Also, we find that by changing parameter $\omega$ from -1 to $-\frac{1}{3}$, the critical point shifts to higher entropy. Then we study type two of phase transition and show critical points increase by increasing parameter $\alpha$. Also, we show that the critical point shifts to higher entropy when $\alpha$, $\omega$ and rotation parameter $a$ decrease. Finally, we find that by decreasing pressure the first critical point shifts to lower entropy and second critical point shifts to higher entropy.