Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
Behnam Pourhassan, Mir Faizal, Zaid Zaz, and Anha Bhat
TL;DR
This paper investigates how quantum and thermal fluctuations influence the thermodynamics and stability of charged BTZ black holes within a massive gravity framework, considering both AdS and dS space-times.
Contribution
It provides a detailed analysis of quantum fluctuation effects on small charged BTZ black holes in massive gravity, including entropy corrections and stability considerations.
Findings
Thermal fluctuations significantly modify the entropy of small charged BTZ black holes.
Quantum fluctuations impact the stability of these black holes.
The study extends understanding of black hole thermodynamics in massive gravity theories.
Abstract
In this work, we shall analyze the effects of quantum fluctuations on the properties of a BTZ black hole, in a massive theory of gravity. We will analyze this for a charged BTZ black hole in asymptotically AdS and dS space-times. The quantum fluctuations would produce thermal fluctuations in the thermodynamics of this BTZ black hole. As these fluctuations would become relevant at a sufficiently small scale, we shall discuss the effects of such thermal fluctuations on the entropy of a small charged BTZ black. We shall also analyze the effects of these fluctuations on the stability of such a black hole.
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