Effects of dark energy on P-V criticality of charged AdS black holes

TL;DR

This paper studies how quintessence dark energy influences the phase transition and critical behavior of charged AdS black holes, finding it affects critical quantities but not the universality class.

Contribution

It provides analytic and numerical analysis of dark energy effects on P-V criticality of RN-AdS black holes, extending understanding of black hole thermodynamics with dark energy.

Findings

Dark energy does not affect the existence of small/large black hole phase transition.

Critical physical quantities are influenced by quintessence dark energy near the critical point.

Critical exponents remain unchanged, indicating universality.

Abstract

In this Letter, we investigate the effects of dark energy on $P-V$ criticality of charged AdS black holes by considering the case of the RN-AdS black holes surrounded by quintessence. By treating the cosmological constant as thermodynamic pressure, we study its thermodynamics in the extended phase space. It is shown that quintessence dark energy does not affect the existence of small/large black hole phase transition. For the case $\omega_q=-2/3$ we derive analytic expressions of critical physical quantities, while for cases $\omega_q\neq-2/3$ we appeal to numerical method for help. It is shown that quintessence dark energy affects the critical physical quantities near the critical point. Critical exponents are also calculated. They are exactly the same as those obtained before for arbitrary other AdS black holes, which implies that quintessence dark energy does not change the critical exponents.