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

Behnam PourhassanCanadian Quantum Research Center, 204-3002, 32 Avenue Vernon, British Columbia V1T 2L7, CanadaM. DehghaniDepartment of Physics, Razi University, Kermanshah, IranSudhaker UpadhyayDepartment of Physics, K.L.S. College, Magadh University, Nawada, Bihar 805110, Indiaİzzet SakallıDepartment of Physics, Eastern Mediterranean University, Famagusta 99628, North Cyprus via Mersin 10, TurkeyDharm Veer SinghDepartment of Physics, Institute of Applied Science and Humanities, GLA University, Mathura 281406 Uttar Pradesh, India
2022en
ABI

Аннотация

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 affects significantly 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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