Second-order phase transition of Kehagias-Sfetsos black hole in deformed H\v{o}rava-Lifshitz gravity

TL;DR

This paper investigates the second-order phase transition of Kehagias-Sfetsos black holes within deformed Hořava-Lifshitz gravity, revealing unique critical behavior and differences from Einstein's gravity.

Contribution

It demonstrates the occurrence of second-order phase transitions in KS black holes in deformed Hořava-Lifshitz gravity using fluctuation methods, highlighting differences from Einstein gravity.

Findings

SOPT occurs when black hole mass crosses a specific critical value.

KS black holes exhibit phase transition behavior distinct from Schwarzschild black holes.

Differences between Hořava-Lifshitz and Einstein gravity are evidenced through phase transition analysis.

Abstract

We study the second-order phase transition (SOPT) for the spherically symmetric Kehagias-Sfetsos (KS) black hole in the deformed H\v{o}rava-Lifshitz gravity by applying the methods of equilibrium and non-equilibrium fluctuations. We find that, although the KS black hole has only one mass parameter as the usual Schwarzschild ones, the SOPT will take place if the mass of the KS black hole changes across the critical point $\frac{\sqrt{5+\sqrt{33}}(\sqrt{33}-1)} {16\sqrt{\omega}} $. The result show us that there is difference between the H\v{o}rava-Lifshitz gravity and the Einstein's gravity theory.