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More Exact Thermodynamics of Nonlinear Charged AdS Black Holes in 4D Critical Gravity

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arxiv 2307.03268 v1 pith:7RNAPW4Z submitted 2023-07-05 gr-qc hep-th

More Exact Thermodynamics of Nonlinear Charged AdS Black Holes in 4D Critical Gravity

Prosenjit Paul , Sudhaker Upadhyay , Yerlan Myrzakulov , Dharm Veer Singh , Kairat Myrzakulov This is my paper
classification gr-qc hep-th
keywords blackchargedholesholenonlinearlythermodynamicscriticalexact
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we investigate nonlinearly charged AdS black holes in four-dimensional critical gravity and study more exact black hole thermodynamics under the effect of small statistical fluctuations. We compute the correction to the thermodynamics of nonlinearly charged AdS black hole up to the leading order. We discuss the stability of black holes under the circumstances of fluctuation and find that fluctuation causes instability in the black holes. Moreover, both the isothermal and adiabatic compressibilities are also derived. Finally, we estimate the role of small fluctuations on the equation of states and study the $P-v$ diagram of nonlinearly charged AdS black hole.

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  1. Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics

    gr-qc 2026-04 unverdicted novelty 4.0

    Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.