Central charge criticality of charged AdS black hole surrounded by different fluids

TL;DR

This paper explores the thermodynamics of charged AdS black holes with surrounding fluids, introducing a central charge and variable gravitational constant, revealing that the universality of the central charge generally does not hold.

Contribution

It introduces a central charge and variable gravitational constant into the thermodynamics of Kiselev black holes, providing new insights into phase transitions and the limits of central charge universality.

Findings

Central charge does not remain universal in general cases.

New relations between chemical potential and black hole size.

Modified phase transition descriptions for charged AdS black holes.

Abstract

We analyze the extended phase space thermodynamics of Kiselev black hole introducing a central charge and allowing the gravitational constant to vary. We also discuss the relation between the chemical potential and the size of the black hole, besides the new description of phase transitions. We obtain as a conclusion that the universality of the central charge does not remain valid in general.