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arXiv · 2609.32878

Charged regular AdS$_3$ black holes in a scalar-vector-tensor theory coupled to Born-Infeld electrodynamics

Gokhan Alkac
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Abstract

We construct exact, static, circularly symmetric charged regular AdS$_3$ black hole solutions in a three-dimensional scalar-vector-tensor theory obtained from regularized Gauss-Bonnet couplings. While the Maxwell-charged counterpart of this theory suffers from a logarithmic curvature singularity at the origin, we demonstrate that coupling the action to non-linear Born-Infeld electrodynamics cures this pathology. We obtain the metric function and show explicitly the regularity of the core. Depending on the choice of parameters, the solution exhibits various horizon structures, including single-horizon, double-horizon, extremal black holes, and horizonless regular geometries. Finally, we discuss the significance of this regular spacetime as a testbed for microscopic entropy calculations in singularity-free setups.

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Gokhan Alkac. 2026-09-26. Charged regular AdS$_3$ black holes in a scalar-vector-tensor theory coupled to Born-Infeld electrodynamics. https://arxiv.org/abs/2609.32878

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