Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics

Abstract

New five-dimensional charged AdS black hole solutions are found in Einstein-Gauss-Bonnet gravity and the nonlinear electrodynamics. These solutions include regular black holes as well as extremal black holes. The first law of the black hole thermodynamics is confirmed in the extended phase space where the cosmological constant is treated as the pressure. The first and second order phase transitions are investigated by observing the behavior of the heat capacity at constant pressure and the Gibbs free energy. In addition, the equation of state for the black holes and their $P-V$ criticality are studied. Finally, the critical exponents are found to be the same as those of the Van der Waals fluid.

30 pages, 21 figures, version published in EPJC

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Cited by in corpus (17)

• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• Gravitational lensing by charged black hole in regularized $4D$ Einstein-Gauss-Bonnet gravity
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Thermal analysis and Joule-Thomson expansion of black hole exhibiting metric-affine gravity
• Quasinormal modes, shadow and greybody factors of 5D electrically charged Bardeen black holes
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Quasinormal Modes and Phase Structure of Regular $AdS$ Einstein-Gauss-Bonnet Black Holes
• Einstein-Gauss-Bonnet gravity with nonlinear electrodynamics
• Quasinormal modes of black holes in 5D Gauss-Bonnet gravity combined with non-linear electrodynamics
• Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity
• Exploring the Effects of Generalized Entropy onto Bardeen Black Hole Surrounded by Cloud of Strings
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• The generalized holographic $c$-function for regular AdS black holes
• GUP corrections to black hole thermodynamics in the extended phase space approach
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics