On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes

TL;DR

This paper investigates the thermodynamic phase behaviors of Kerr-Newman AdS black holes in four dimensions, analyzing how charge and rotation influence critical phenomena and phase structure within the moduli space.

Contribution

It introduces a detailed analysis of thermodynamic behaviors in the moduli space of Kerr-Newman AdS black holes, incorporating the effects of charge, rotation, and cosmological constant as pressure.

Findings

Identifies critical universal numbers depending on charge and rotation parameters.

Recovers known universal numbers in the limit of zero rotation.

Determines bounded regions of moduli space consistent with real thermodynamic variables.

Abstract

We reconsider the study of critical behaviors of Kerr-Newman AdS black holes in four dimensions. The study is made in terms of the moduli space parameterized by the charge Q and the rotation parameter a, relating the mass M of the black hole and its angular momentum J via the relation a=J/M. Specifically, we discuss such thermodynamical behaviors in the presence of a positive cosmological constant considered as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume. The equation of state for a charged RN-AdS black hole predicts a critical universal number depending on the (Q,a) moduli space. In the vanishing limit of the a parameter, this prediction recovers the usual universal number in four dimensions. Then, we find the bounded regions of the moduli space allowing the consistency of the model with real thermodynamical variables.