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arXiv · 2210.07180

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

Behnam Pourhassan·İzzet Sakallı
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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 Hořava-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.

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Behnam Pourhassan, İzzet Sakallı. 2022-09-26. Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics. https://doi.org/10.1016/j.cjph.2022.09.006

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