Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity

TL;DR

This paper explores the thermodynamics and phase transitions of black holes in Pure Lovelock gravity, revealing Van der Waals-like behavior and first-order phase transitions similar to liquid-gas systems.

Contribution

It introduces a thermodynamic framework for Pure Lovelock black holes, demonstrating Van der Waals behavior and phase transitions in this gravity theory.

Findings

Charged black holes exhibit Van der Waals fluid behavior.

Existence of first-order phase transition between small and large black holes.

Critical exponents match those of Van der Waals fluid.

Abstract

In this work the \textit{chemistry} of asymptotically AdS black hole, charged and uncharged, solutions of Pure Lovelock gravity is discussed. For this the mass parameter of black holes is identified with the enthalpy of the system together with the promotion of the cosmological constant to a thermodynamics variable proportional to the \textit{pressure} of the system. The equations of state for both, charged and uncharged, are obtained. It is shown that the charged case behaves as a Van der Waals fluid. The existence of a first order phase transition between small stable/large stable black hole, which is a reminiscent of the liquid/gas transition, is found. The critical exponents of the thermal evolution, for different cases of interest, are similar to those of the Van der Waals fluid.