Critical Phenomena of Charged AdS Black Holes in Rastall Gravity

De-Cheng Zou,Ming Zhang,Rui-Hong Yue,Chao Wu

doi:10.1155/2020/4065254

Abstract

We construct analytical charged anti-de Sitter (AdS) black holes surrounded by perfect fluids in four dimensional Rastall gravity. Then, we discuss the thermodynamics and phase transitions of charged AdS black holes immersed in regular matter like dust and radiation, or exotic matter like quintessence, ΛCDM type, and phantom fields. Surrounded by phantom field, the charged AdS black hole demonstrates a new phenomenon of reentrant phase transition (RPT) when the parameters Q, Np, and ψ satisfy some certain condition, along with the usual small/large black hole (SBH/LBH) phase transition for the surrounding dust, radiation, quintessence, and cosmological constant fields.

Highlights

As well known, Einstein’s theory of general relativity (GR) has made a lot of interesting predictions for solar system experiments, which are in perfect agreement with the observational data
In the rest of this section, we mainly focus on that regions possessing more than one real roots of from Table 2, and consider the critical behaviors of charged AdS black holes surrounded by dust, radiation, quintessence, phantom, or Λ CDM type fields
Similar discussion can be done in the region of 푁 < 0, −2 < 휉 < −1 and 휔 = −1.03, we find there only is the Van der Waals (VdW)-like SBH/large black holes (LBH) phase transition, even though there exist two different physical critical points: 푟푐1, 푇푐1, 푃푐1 > 0 and 푟푐2, 푇푐2, 푃푐2 > 0

Summary

Introduction

Einstein’s theory of general relativity (GR) has made a lot of interesting predictions for solar system experiments, which are in perfect agreement with the observational data. In the extended phase space, charged AdS black hole admits a more direct and precise coincidence between the first order small/large black holes (SBH/ LBH) phase transition and Van der Waals (VdW) liquid–gas phase transition [32], and both systems share the same critical exponents near the critical point. More discussions in this direction can be found as well in Refs.

Charged AdS Black Hole Solutions in Rastall Theory

Critical Behaviors of Charged AdS Black Holes

Findings

Conclusion and Discussion