Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
Behnam PourhassanSchool of Physics, Damghan University, Damghan 3671641167, IranS. H. HendiBiruni Observatory, School of Science, Shiraz University, Shiraz 71454, IranSudhaker UpadhyayDepartment of Physics, K. L. S. College, Magadh University, Nawada 805110, Indiaİzzet SakallıDepartment of Physics, Eastern Mediterranean University, 99628 Famagusta, CyprusEmmanuel N. SaridakisDeep Space Exploration Laboratory/School of Physical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China
2023en
ABI
Abstract
In this paper, we consider a charged BTZ black hole in asymptotically AdS spacetime of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein–Born–Infeld solution and investigate critical points and stability. We also compare the results with the case of Einstein–Maxwell solutions. Besides, we find that thermal fluctuations, which appear as a logarithmic term in the entropy, affect the stability of the black hole and change the phase transition point. Moreover, we study the geometrical thermodynamics and find that the behavior of the linear Maxwell solution is the same as the nonlinear one.
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