Non-perturbative correction to the Ho?ava-Lifshitz black hole thermodynamics


Pourhassan B., Sakalli I.

CHINESE JOURNAL OF PHYSICS, vol.79, pp.322-338, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79
  • Publication Date: 2022
  • Doi Number: 10.1016/j.cjph.2022.09.006
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.322-338
  • Keywords: Non-perturbative correction, Thermodynamics and phase transition, Ho?ava-Lifshitz black hole, THERMAL FLUCTUATIONS, STATISTICS, GRAVITY
  • Istanbul Technical University Affiliated: No

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 Horava-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.