Exact Solution of Bardeen Black Hole in Einstein-Gauss-Bonnet gravity

Abstract

We have obtained a new exact regular black hole solution for the EGB gravity coupled with nonlinear electrodynamics in AdS space. The numerical analysis of horizon structure suggests two horizons exist: Cauchy and event. We also study the thermal properties of this black hole, which satisfy the modified first law of thermodynamics. Moreover, we analyse the local and global stability of the black hole. The $P-V$ criticality and phase transition are also discussed. The critical exponents for the present model exactly match the mean field theory.

22 pages, 22 pages, published in EPJP

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Cited by in corpus (8)

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• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• Thermodynamics, Shadow, and Quasinormal Modes of AdS Ayón--Beato--García Massive Black Hole
• More Exact Thermodynamic Analysis of Topological Black Holes in $R^2$ Gravity