Nonlinear magnetically charged black holes in 4D Einstein-Gauss-Bonnet gravity

Abstract

In this letter we present an exact spherically symmetric and magnetically charged black hole solution with exponential model of nonlinear electrodynamics [S. Kruglov, Annals Phys. 378, 59-70 (2017)] in the context of 4D Einstein-Gauss-Bonnet (EGB) gravity. We show that our $-$ve branch, in the limit of GB coupling coefficient $\alpha \to 0$ and the nonlinear parameter $\beta \to 0$, reduces to the magnetically charged black hole of Einstein-Maxwell gravity in GR. In addition we study the embedding diagram of the black hole geometry and the thermodynamic properties such as the Hawking temperature and the heat capacity of our black hole solution.

8 pages, 5 figures. Accepted for publication in Annals of Physics

References in corpus (6)

• The Lovelock Black Holes
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Asymptotic magnetically charged non-singular black hole and its thermodynamics
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity

Cited by in corpus (8)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Anisotropic Stars in 4D Einstein-Gauss-Bonnet Gravity
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Einstein-Gauss-Bonnet gravity with nonlinear electrodynamics
• Isotropic compact stars in 4D Einstein-Gauss-Bonnet gravity
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
• Theory and phenomenology of a four dimensional string-corrected black hole
• New model of 4D Einstein--Gauss--Bonnet gravity coupled with nonlinear electrodynamics