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

TL;DR

This paper derives an exact, regular charged black hole solution in 4D Einstein-Gauss-Bonnet gravity with a cosmological constant, incorporating finite electrodynamics and T-duality, revealing connections to Horava-Lifshitz theory.

Contribution

It presents a novel exact charged black hole solution in 4D EGB gravity with finite electrodynamics, extending previous solutions and establishing a link to Horava-Lifshitz theory.

Findings

The solution is regular and free from singularities.

It exists in the regularized 4D EGB theory.

A correspondence with Horava-Lifshitz theory is identified.

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.