Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity

B. Pourhassan; D. V. Singh; I. Sakalli; M. Dehghani; S. Upadhyay

Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity

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arxiv 2301.01603 v1 pith:7IMR2TJH submitted 2022-12-25 gr-qc hep-th

B. Pourhassan , M. Dehghani , S. Upadhyay , I. Sakalli , D. V. Singh This is my paper · ORCID

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It is known that entropy of black hole gets correction at quantum level. Universally, these corrections are logarithmic and exponential in nature. We analyze the impacts of these quantum corrections on thermodynamics of Born-Infeld BTZ black hole in massive gravity by considering both such kinds of correction. We do comparative analysis of corrected thermodynamics with their equilibrium values. Here, we find that the exponential correction yields to the second point of the first order phase transition. Also, quantum correction effects significantly on the Helmholtz free energy of larger black holes. We study the equation of state for the exponential corrected black hole to obtain a leading order virial expansion.

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Notes on solution phase space and BTZ black hole
gr-qc 2024-11 accept novelty 3.0 of 10

A detailed worked example showing that the solution phase space method reproduces the known mass, angular momentum, entropy, first law, and Smarr relation for the BTZ black hole and three-dimensional Kerr-dS spacetime.

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