Thermodynamics of black holes in the deformed Ho\v{r}ava-Lifshitz gravity

TL;DR

This paper investigates the thermodynamic properties of black holes within deformed Hořava-Lifshitz gravity, revealing their similarities to Reissner-Nordström black holes and exploring connections to the generalized uncertainty principle.

Contribution

It provides a detailed analysis of black hole thermodynamics in deformed Hořava-Lifshitz gravity, highlighting the behavior at specific coupling constants and linking to quantum gravity concepts.

Findings

Black holes behave like Reissner-Nordström black holes at λ=1

Differences from Schwarzschild black holes in Einstein gravity

Connection to the generalized uncertainty principle

Abstract

We study thermodynamics of black holes in the deformed Ho\v{r}ava-Lifshitz gravity with coupling constant $\lambda$. For $\lambda=1$, the black hole behaves the Reissner-Norstr\"om black hole. Hence, this is different from the Schwarzschild black hole of Einstein gravity. A connection to the generalized uncertainty principle is explored to understand the Ho\v{r}ava-Lifshitz black holes.