Thermodynamics of Black Holes in Horava-Lifshitz Gravity

TL;DR

This paper investigates the thermodynamic properties of black holes in Hořava-Lifshitz gravity, revealing stability conditions, entropy-area relations depending on the coupling constant, and recovering known results in the infrared limit.

Contribution

It provides a detailed analysis of black hole thermodynamics in Hořava-Lifshitz gravity for general coupling constants using the canonical Hamiltonian method.

Findings

Black holes are thermodynamically stable in certain parameter regions.

The entropy-area relation includes a coupling-dependent coefficient.

The standard entropy coefficient is recovered at the infrared limit for λ=1.

Abstract

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Ho\v{r} ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or hyperboloid, we find these black holes are thermodynamically stable in some parameter space and unstable phase also exists in other parameter space. The relation between the entropy and horizon area of the black holes has an additional coefficient depending on the coupling constant $\lambda$, compared to the $\lambda=1$ case. For $\lambda=1$, the well-known coefficient of one quarter is recovered in the infrared region.