Regular AdS$_3$ black holes from regularized Gauss-Bonnet coupling

TL;DR

This paper constructs regular AdS$_3$ black hole solutions within a modified three-dimensional gravity theory derived from regularized Gauss-Bonnet coupling, including charged variants with Born-Infeld electrodynamics.

Contribution

It introduces a novel 3D bi-vector-tensor theory from regularized Gauss-Bonnet gravity that admits regular AdS$_3$ black holes with primary hairs and their charged extensions.

Findings

Existence of regular AdS$_3$ black holes with primary hairs.

Introduction of a deformation leading to new regular black hole solutions.

Charged black holes obtained via coupling to Born-Infeld electrodynamics.

Abstract

We obtain a three-dimensional bi-vector-tensor theory of the generalized Proca class by regularizing the Gauss-Bonnet invariant within the Weyl geometry. We show that the theory admits a regular AdS$_3$ black hole solution with primary hairs. Introducing a deformation in the theory, a different regular AdS$_3$ black hole solution is obtained. Charged generalizations of these solutions are given by coupling to Born-Infeld electrodynamics.