More exact thermodynamics of nonlinear charged AdS black holes in 4D critical gravity


Paul P. Upadhyay S. Myrzakulov Y. Singh D.V. Myrzakulov K.
August 2023Elsevier B.V.

Nuclear Physics B
2023#993

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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Indian Institute of Engineering Science and Technology (IIEST), WB, Shibpur-711103, India
Department of Physics, K.L.S. College, Magadh University, Bihar, Nawada, 805110, India
School of Physics, Damghan University, Damghan, 3671641167, Iran
Department of General & Theoretical Physics, LN Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Physics, Institute of Applied Sciences and Humanities, GLA University, Uttar Pradesh, Mathura, 281406, India

Indian Institute of Engineering Science and Technology (IIEST)
Department of Physics
School of Physics
Department of General & Theoretical Physics
Department of Physics

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