Spherically Symmetric Scalar Hair for Charged Black Holes
Spherically Symmetric Scalar Hair for Charged Black Holes
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DOI：
10.1103/physrevlett.125.111104
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发表时间：
2020-09-08
影响因子：
8.6
通讯作者：
Yamada, Masaki
中科院分区：
文献类型：
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作者：
Hong, Jeong-Pyong;Suzuki, Motoo;Yamada, Masaki
Mayo和Bekenstein的无毛发定理指出，不存在非极端的静态和球面带电黑洞，黑洞以具有自相互作用势的带电标量场的形式被赋予毛发。在我们最近的工作中[物理。让我们来吧。B803,135324(2020)]，我们证明了在渐近无穷远处，标量质量项的影响是重要的，这一点在证明无毛定理时被省略了。在这封信中，我们通过考虑度规场和规范场的反向反应，证明了荷电黑洞周围实际上存在静态的球形带电标量头发，称为Q头发。我们还讨论了Q云在一定的极限下是Q头发的一个很好的近似，它是在Reissner-Nordstrom黑洞周围没有反向反应的情况下构造的。
The no-hair theorem by Mayo and Bekenstein states that there exists no nonextremal static and spherical charged black hole endowed with hair in the form of a charged scalar field with a self-interaction potential. In our recent work [Phys. Lett. B 803,135324 (2020)], we showed that the effect of a scalar mass term is important at an asymptotic infinity, which was omitted to prove the no-hair theorem. In this Letter, we demonstrate that there actually exists static and spherical charged scalar hair, dubbed as Q hair, around charged black holes, by taking into account the backreaction to the metric and gauge field. We also discuss that Q cloud, which is constructed without the backreaction around a Reissner-Nordstrom black hole, is a good approximation to Q hair under a certain limit.