Second-order phase transition of Kehagias-Sfetsos black hole in deformed Hǒrava-Lifshitz gravity

Details Second-order phase transition of Kehagias-Sfetsos black hole in deformed Hǒrava-Lifshitz gravity Second-order phase transition of Kehagias-Sfetsos black hole in deformed Hǒrava-Lifshitz gravity

2010-12-03

arxiv.org/abs/1012.0645v2

Phys.Lett.B695:401-404,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figure, accepted for publication in PLB

Scientific paper

10.1016/j.physletb.2010.11.055

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.

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