Slowly rotating black holes in the Horava-Lifshitz gravity

TL;DR

This paper studies slowly rotating black holes within Hořava-Lifshitz gravity, deriving solutions, analyzing their thermodynamics, and providing insights into their physical properties in asymptotically flat spacetimes.

Contribution

It presents the first derivation of slowly rotating black hole solutions in Hořava-Lifshitz gravity with detailed thermodynamic analysis.

Findings

Found a slowly rotating black hole solution in HL gravity with specific parameters.

Computed thermodynamic quantities such as mass, temperature, and angular momentum.

Analyzed the horizon properties and stability conditions.

Abstract

We investigate slowly rotating black holes in the Ho\v{r}ava-Lifshitz (HL) gravity. For $\Lambda_W=0$ and $\lambda=1$, we find a slowly rotating black hole of the Kehagias-Sfetsos solution in asymptotically flat spacetimes. We discuss their thermodynamic properties by computing mass, temperature, angular momentum, and angular velocity on the horizon.