Thermal phase transitions of dimensionally continued AdS black holes

TL;DR

This paper investigates the thermal phase transitions of charged AdS black holes in dimensionally continued gravity, revealing van der Waals-like behavior in even dimensions with spherical horizons, and no such transitions in odd dimensions.

Contribution

It identifies the conditions for phase transitions in these black holes and computes the critical exponents, extending understanding of black hole thermodynamics in higher dimensions.

Findings

Van der Waals-like phase transition occurs in even dimensions with spherical horizons.

No phase transitions are observed in flat or hyperbolic geometries or in odd dimensions.

Critical exponents are universal and independent of the dimension.

Abstract

We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti-de Sitter space. We find the van der Waals-like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.