Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics

TL;DR

This paper investigates how non-perturbative quantum corrections affect the thermodynamics and stability of Hořava-Lifshitz black holes, revealing different stability behaviors and holographic duals for two solutions.

Contribution

It introduces the impact of non-perturbative quantum corrections on black hole thermodynamics and stability, distinguishing the behaviors of Kehagius-Sfetsos and Lu-Mei-Pop solutions.

Findings

Non-perturbative correction causes instability at small horizons in Kehagius-Sfetsos black holes.

Lu-Mei-Pop black holes remain stable under non-perturbative corrections.

Holographic duals shift from point-like particles to Van der Waals fluid with corrections.

Abstract

In this paper, we consider non-perturbative quantum correction which appears as exponential term in the black hole entropy. We study consequence thermodynamics of the Ho\v{r}ava-Lifshitz black hole at quantum scales. We consider two cases of Kehagius-Sfetsos and Lu-Mei-Pop solutions and investigate black hole stability. We find that non-perturbative quantum correction yields to an instability at infinitesimal horizon radius of Kehagius-Sfetsos solution. On the other hand, non-perturbative quantum correction yields to the stability of Lu-Mei-Pop solution. Hence, we find that holographic dual of Lu-Mei-Pop black hole (in absence of non-perturbative quantum correction) is the interacting gas of point like particles, while it is Van der Waals fluid in presence of non-perturbative quantum correction.