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 black hole solution with primary hairs. Introducing a deformation in the theory, a different regular AdS black hole solution is obtained. Charged generalizations of these solutions are given by coupling to Born-Infeld electrodynamics.
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