Einstein-Gauss-Bonnet gravity with nonlinear electrodynamics

Abstract

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian ${\mathcal{L}}_{NED}=-\mathcal{F}/(1+\sqrt{2\mid \beta \mathcal{F}\mid })$ ($\mathcal{F}$ is the field strength invariant). The thermodynamics of the black hole is studied within our model. We calculate the Hawking temperature and the heat capacity of the black hole. The phase transitions occur in the point where the Hawking temperature possesses an extremum and the heat capacity diverges. It was shown that black holes are thermodynamically stable in some range of event horizon radii when the heat capacity and Hawking temperature are positive. The logarithmic correction to the Bekenstein - Hawking BH entropy is obtained which mimics a quantum correction. The dependence of the BH shadow radius on the model parameters is studied. We also investigate the particle emission rate of the BH. The stability of the BH is studied by analysing the quasinormal modes.

25 pages, 8 figures, 3 tables, published in Annals of Physics

References in corpus (41)

• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Formation and evaporation of non-singular black holes
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Notes on non-singular models of black holes
• Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Einstein gravity with Gauss-Bonnet entropic corrections
• Deflection Angle and Shadow Behaviors of Quintessential Black Holes in arbitrary Dimensions
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Universe acceleration and nonlinear electrodynamics
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• A note on the total action of $4D$ Gauss-Bonnet theory
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• Born-Infeld Black Holes in 4D Einstein-Gauss-Bonnet Gravity
• Nonlinear electrodynamics and magnetic black holes
• No compelling cosmological models come out of magnetic universes which are based in nonlinear electrodynamics
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Gauss-Bonnet black holes supported by a nonlinear electromagnetic field
• Quasinormal modes of black holes in 5D Gauss-Bonnet gravity combined with non-linear electrodynamics
• Gauss-Bonnet holographic superconductors in exponential nonlinear electrodynamics

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• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
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• Quasinormal Modes and Optical Properties of 4-D black holes in Einstein Power-Yang-Mills Gravity
• Black Holes in $4D$ AdS Einstein Gauss Bonnet Gravity With Power- Yang Mills Field
• Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion
• New model of 4D Einstein--Gauss--Bonnet gravity coupled with nonlinear electrodynamics
• Black holes immersed in polytropic scalar field gas
• Four $\mathbb{STU}$ Black Holes Shadows
• Symmetric black-to-white hole solutions with a cosmological constant
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• 4D Einstein--Gauss--Bonnet gravity coupled to modified logarithmic nonlinear electrodynamics
• Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics