A unified thermodynamic picture of Ho\v{r}ava-Lifshitz black hole in arbitrary space time

TL;DR

This paper provides a comprehensive thermodynamic analysis of Hořava-Lifshitz black holes in arbitrary spacetime, revealing they undergo second order phase transitions confirmed through geometrothermodynamics and Ehrenfest's scheme.

Contribution

It offers the first detailed thermodynamic and phase transition study of Hořava-Lifshitz black holes in arbitrary spacetime, using analytical methods.

Findings

Black holes exhibit second order phase transitions.

Ehrenfest's equations are satisfied at the critical point.

Heat capacity diverges at the phase transition point.

Abstract

In this paper, we analyze the complete thermodynamic and phase transition phenomena of a black hole solution in Ho\v{r}ava-Lifshitz gravity in arbitrary space time. Nature of phase transition is studied using geometrothermodynamic and Ehrenfest's scheme of standard thermodynamics. We analytically check the Ehrenfest's equations near the critical point, which is the point of divergence in the heat capacity. Our analysis revels that this black hole exhibits a second order phase transition.