Charged AdS black holes with finite electrodynamics in 4D Einstein-Gauss-Bonnet gravity

Abstract

Using a modified expression for the electric potential in the context of T-duality (Gaete and Nicolini, Phys. Lett. B, 2022) we obtain an exact charged solution within 4D Einstein-Gauss-Bonnet (4D EGB) theory of gravity in the presence of a cosmological constant. We show that the solution exists in the regularized 4D EGB theory as well and we point out a correspondence between the black hole solution in 4D EGB theory and the solution in the non-relativistic Horava--Lifshitz theory. The black hole solution is regular and free from singularity and as a special case we recover a class of well-known solutions in the literature.

7 pages, accepted for publication in Chinese Physics C

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• Three dimensional charged black holes in Gauss-Bonnet gravity
• Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics