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

Abstract

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.

15 pages, 12 captioned figures, published in NPB

References in corpus (9)

• Van der Waals black hole
• Quantum corrections to thermodynamics of quasitopological black holes
• Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity
• Anisotropic Stars in 4D Einstein-Gauss-Bonnet Gravity
• Jacob Bekenstein's Universes: From Black Holes to Modified Theories of Gravity
• AdS--dS Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Stationary Rotating Black Hole Exact Solution within Einstein--Nonlinear Electrodynamics
• Unveiling the electrodynamics of the first nonlinearly charged rotating black hole

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