Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity

Details Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity

2010-02-08

arxiv.org/abs/1002.1550v2

Physics

High Energy Physics

High Energy Physics - Theory

V2: 15 pages, 4 figures, typos corrected

Scientific paper

We investigate the thermodynamics of black hole in the deformed Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda=1$. We show that the thermodynamic behavior of the black hole is very similar to that of the Reissner-Norstr\"om (RN) black hole with regarding $\sqrt{\frac{1}{2\omega}}$ as a new thermodynamic parameter, where $\omega$ is a parameter in the Ho\v{r}ava-Lifshitz gravity. Furthermore, we also obtain the Ruppeiner geometry of the Kehagias-Sfetsos black hole. The results are very different from the RN black hole, which mainly due to the different gravity theory.

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