Thermodynamics of Ho\v{r}ava-Lifshitz black holes

TL;DR

This paper explores the thermodynamic properties of Hořava-Lifshitz black holes across different parameter regimes, revealing diverse behaviors from Lifshitz to Reissner-Nordström types, distinct from Einstein gravity black holes.

Contribution

It provides a detailed analysis of black hole thermodynamics in Hořava-Lifshitz gravity, highlighting how the parameter λ influences black hole behavior and thermodynamic characteristics.

Findings

Black holes exhibit Lifshitz behavior for 1/3 ≤ λ < 3.

For λ > 3, black holes resemble Reissner-Nordström type.

Thermodynamic quantities like temperature, mass, entropy, and heat capacity are derived.

Abstract

We study black holes in the Ho\v{r}ava-Lifshitz gravity with a parameter $\lambda$. For $1/3 \le \lambda < 3$, the black holes behave the Lifshitz black holes with dynamical exponent $0 < z \le 4$, while for $\lambda > 3$, the black holes behave the Reissner-Nordstr\"om type black hole in asymptotically flat spacetimes. Hence, these all are quite different from the Schwarzschild-AdS black hole of Einstein gravity. The temperature, mass, entropy, and heat capacity are derived for investigating thermodynamic properties of these black holes.