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arXiv · 2508.14010

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

Gokhan Alkac·Murat Mesta·Gonul Unal
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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.

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Gokhan Alkac, Murat Mesta, Gonul Unal. 2026-01-08. Regular AdS$_3$ black holes from regularized Gauss-Bonnet coupling. https://doi.org/10.1016/j.physletb.2025.140107

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