ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity

Details ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity ADM mass and quasilocal energy of black hole in the deformed Hořava-Lifshitz gravity

2009-12-17

arxiv.org/abs/0912.3305v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures

Scientific paper

Inspired by the Einstein-Born-Infeld black hole, we introduce the isolated horizon to study the Kehagias-Sfetsos (KS) black hole in the deformed Ho\v{r}ava-Lifshitz gravity. This is because the KS black hole is more close to the Einstein-Born-Infeld black hole than the Reissner-Nordstr\"om black hole. We find the horizon and ADM masses by using the first law of thermodynamics and the area-law entropy. The mass parameter $m$ is identified with the quasilocal energy at infinity. Accordingly, we discuss the phase transition between the KS and Schwarzschild black holes by considering the heat capacity and free energy.

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