标题： 带有初级普罗卡毛的AdS$_3$黑洞，来自正则化高斯-博内耦合 显示英文标题

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

摘要： 我们通过利用基于Weyl几何的正则化程序，在广义Proca类中构建了一个一致的三维Einstein-Gauss-Bonnet理论，该方法最近在arXiv:2504.13084中提出。 然后，我们获得了一个渐近AdS$_3$、静态且具有圆对称性的带有主要Proca毛发的黑洞解。 随后，我们研究了之前通过不同正则化方案构建的标量-张量Gauss-Bonnet耦合的影响。 我们进一步通过引入电荷来推广这些解。 作为特殊情况，我们除了带电和不带电的隐式BTZ黑洞解外，还找到了一个规则的黑洞解。 显示英文摘要

摘要： 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 arXiv:2504.13084. We then obtain an asymptotically AdS$_3$, static, and circularly symmetric black hole solution with primary Proca hair. Afterwards, 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.