Area spectrum and thermodynamics of KS black holes in Ho\v{r}ava gravity

TL;DR

This paper explores the quantized area spectrum and thermodynamic properties of Kehagias-Sfetsos black holes within Hořava-Lifshitz gravity, revealing an equally spaced area spectrum and analyzing their thermodynamic behavior.

Contribution

It introduces a method to determine the quantized area spectrum of KS black holes and studies their thermodynamics in Hořava-Lifshitz gravity.

Findings

Area spectrum is equally spaced with ΔA=4πl_p^2.

Derived thermodynamic quantities for KS black holes.

Analyzed thermodynamic stability and phase behavior.

Abstract

We investigate the area spectrum of Kehagias-Sfetsos black hole in Ho\v{r}ava-Lifshitz gravity via modified adiabatic invariant $I=\oint p_i d q_i$ and Bohr-Sommerfeld quantization rule. We find that the area spectrum is equally spaced with a spacing of $ \Delta A=4 \pi l_p ^2$. We have also studied the thermodynamic behavior of KS black hole by deriving different thermodynamic quantities.