More exact thermodynamics of nonlinear charged AdS black holes in 4D critical gravity
Prosenjit PaulIndian Institute of Engineering Science and Technology (IIEST), Shibpur-711103, WB, IndiaSudhaker UpadhyayDepartment of Physics, K.L.S. College, Magadh University, Nawada, Bihar 805110, IndiaYerlan MyrzakulovDepartment of General & Theoretical Physics, LN Gumilyov Eurasian National University, Astana, 010008, KazakhstanDharm Veer SinghDepartment of Physics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, IndiaKairat MyrzakulovDepartment of General & Theoretical Physics, LN Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
2023en
ABI
Annotatsiya
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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