ADM mass and quasilocal energy of black hole in the deformed Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper investigates the properties of Kehagias-Sfetsos black holes in deformed Hořava-Lifshitz gravity, focusing on their mass, energy, and phase transitions using thermodynamic principles inspired by Einstein-Born-Infeld black holes.

Contribution

It introduces a novel approach to analyze KS black holes using isolated horizons and thermodynamics, linking mass parameters to quasilocal energy in this gravity model.

Findings

Horizon and ADM masses are derived via thermodynamics.

Mass parameter identified with quasilocal energy at infinity.

Phase transition between KS and Schwarzschild black holes analyzed.

Abstract

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.