Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics

Abstract

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics. The thermodynamics of our model is studied. 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. We show that black holes are thermodynamically stable at some range of event horizon radii when the heat capacity is positive. The logarithmic correction to the Bekenstein-Hawking entropy is obtained.

arXiv comment12 pages, 3 figures

References in corpus (43)

• 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
• 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
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• 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
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• A model of nonlinear electrodynamics
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Universe acceleration and nonlinear electrodynamics
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Nonlinear electrodynamics, regular black holes and wormholes
• A note on the total action of $4D$ Gauss-Bonnet theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• Born-Infeld Black Holes in 4D Einstein-Gauss-Bonnet Gravity
• 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
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Dust collapse in 4D Einstein-Gauss-Bonnet gravity
• Asymptotic Reissner-Nordström solution within nonlinear electrodynamics
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity
• Dyonic configurations in nonlinear electrodynamics coupled to general relativity
• Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
• Dyonic black holes with nonlinear logarithmic electrodynamics
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Cosmology and gravitational waves in consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Dyonic black holes in framework of Born--Infeld-type electrodynamics
• Dyonic and magnetized black holes based on nonlinear electrodynamics
• Comment on "Linear superposition of regular black hole solutions of Einstein nonlinear electrodynamics"
• Rectifying Einstein-Gauss-Bonnet Inflation in View of GW170817

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• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• Black Holes in $4D$ AdS Einstein Gauss Bonnet Gravity With Power- Yang Mills Field
• New model of 4D Einstein--Gauss--Bonnet gravity coupled with nonlinear electrodynamics
• 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