AdS$_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling

Fuente: arXiv
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Autores principales: Alkac, Gokhan, Mesta, Murat, Unal, Gonul
Formato: Preprint
Publicado: 2025
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author Alkac, Gokhan
Mesta, Murat
Unal, Gonul
author_facet Alkac, Gokhan
Mesta, Murat
Unal, Gonul
contents We construct a consistent three-dimensional Einstein-Gauss-Bonnet theory as a vector-tensor theory within the generalized Proca class by employing a regularization procedure based on the Weyl geometry, which was introduced recently in \link{2504.13084}. We then obtain an asymptotically AdS$_3$, static, and circularly symmetric black hole solution with primary Proca hair. Afterward, we investigate the effect of the scalar-tensor Gauss-Bonnet coupling constructed previously by different regularization schemes. We further generalize these solutions by incorporating an electric charge. As special cases, we find a regular black hole solution in addition to charged and uncharged stealth BTZ black hole solutions.
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id arxiv_https___arxiv_org_abs_2508_03386
institution arXiv
publishDate 2025
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spellingShingle AdS$_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
Alkac, Gokhan
Mesta, Murat
Unal, Gonul
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We construct a consistent three-dimensional Einstein-Gauss-Bonnet theory as a vector-tensor theory within the generalized Proca class by employing a regularization procedure based on the Weyl geometry, which was introduced recently in \link{2504.13084}. We then obtain an asymptotically AdS$_3$, static, and circularly symmetric black hole solution with primary Proca hair. Afterward, we investigate the effect of the scalar-tensor Gauss-Bonnet coupling constructed previously by different regularization schemes. We further generalize these solutions by incorporating an electric charge. As special cases, we find a regular black hole solution in addition to charged and uncharged stealth BTZ black hole solutions.
title AdS$_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.03386