Recently, spherical and static flat space solitons (balls) and self-gravitating, everywhere regular, asymptotically flat solitons (stars) were constructed in an Einstein-Proca-Higgs model [1], where a complex vector field gains mass by coupling to a real scalar field with a Higgs-type potential. The Proca-Higgs model serves as a UV completion of a complex Proca model with self-interactions. Here, we construct and examine the mathematical and physical properties of rotating configurations. In particular, rotation allows horizon-bearing solutions, including stationary clouds surrounding Kerr black holes and their non-linear continuation into black holes with Proca-Higgs hair.

中文翻译：

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旋转的普罗卡-希格斯球、恒星和毛状黑洞


最近，在爱因斯坦-普罗卡-希格斯模型中构建了球形和静态平坦空间孤子（球）和自引力、处处规则、渐近平坦的孤子（恒星），其中复矢量场通过耦合到具有希格斯型势的实标量场。 Proca-Higgs 模型充当具有自相互作用的复杂 Proca 模型的 UV 完成。在这里，我们构建并检查旋转配置的数学和物理特性。特别是，旋转允许水平方位解决方案，包括克尔黑洞周围的静止云及其通过普罗卡-希格斯粒子非线性延续到黑洞中头发。