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arXiv · 2111.06935

Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow

M. Dehghani·B. Pourhassan
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Abstract

In this paper, we consider three-dimensional massive gravity's rainbow and obtain black hole solutions in three different cases of Born-Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appears as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that, due to the quantum corrections, the second-order phase transition happens in Born-Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

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M. Dehghani, B. Pourhassan. 2021-11-12. Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow. https://doi.org/10.1142/s0217732321501583

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