Published December 13, 2025 | Version v1
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Regular AdS <inf>3</inf> black holes from a regularized Gauss-Bonnet coupling

  • 1. Department of Aerospace Engineering, Faculty of Engineering, Atılım University, Ankara, 06836, Türkiye
  • 2. Department of Electrical and Electronics Engineering, Faculty of Engineering, Atılım University, Ankara, 06836, Türkiye
  • 3. Department of Biomedical Engineering, Faculty of Engineering, Ba skent University, Ankara, 06790, Türkiye

Description

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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