Thermodynamics and Phase transition of the Reissner-Nordstr\"om Black Hole surrounded by quintessence

TL;DR

This paper explores the thermodynamic behavior and phase transitions of Reissner-Nordström black holes influenced by surrounding quintessence, revealing how quintessence density affects black hole temperature and phase transition points.

Contribution

It derives thermodynamic quantities for black holes with quintessence and analyzes how quintessence parameters influence phase transitions and thermodynamic stability.

Findings

Phase transition observed in black hole entropy.

Increasing quintessence density lowers black hole temperature.

Transition point shifts to lower entropy with higher quintessence density.

Abstract

We investigate thermodynamics and Phase transition of the Reissner-Nordstr\"om black hole surrounded by quintessence. Using thermodynamical laws of black holes, we derive the expressions of some thermodynamics quantities for the Reissner-Nordstr\"om black hole surrounded by quintessence. The variations of the temperature and heat capacity with the entropy were plotted for different values of the state parameter related to the quintessence, $\omega_{q}$, and the normalization constant related to the density of quintessence $c$. We show that when varying the entropy of the black hole a phase transition is observed in the black hole. Moreover, when increasing the density of quintessence, the transition point is shifted to lower entropy and the temperature of the black hole decreases.