Spherical electro-vacuum black holes with resonant, scalar Q-hair
Spherical electro-vacuum black holes with resonant, scalar Q-hair
复制标题
具有共振标量 Q-hair 的球形电真空黑洞
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
E. Radu
中科院分区：
文献类型：
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作者：
C. Herdeiro;E. Radu
渐近平坦的球形电真空黑洞（BHs）支持静态的球形、自相互作用的标量场，与几何最小耦合。考虑到标量场的q球型势，在测试场近似中，我们称这些构型为q云。云存在于共振条件下，在（带电）超辐射的阈值处。这类似于克尔黑洞支持的静止云，它存在于同步条件下，在（旋转）超辐射的阈值。然而，与旋转情况相反，q -云要求标量场是大质量且自相互作用的；对于大质量但自由的标量场，不存在类似的云。首先，考虑解耦极限，我们在史瓦西黑洞和Reissner-Nordström黑洞周围构建q云，表明总存在质量间隙。然后，我们使q云反反应，并构造了描述具有共振标量q毛的球形带电黑洞的爱因斯坦-麦克斯韦计量标量系统的全非线性解。在其他性质中，我们观察到该模型中带电黑洞的非唯一性，并且对于相同的电荷质量比，q -毛状黑洞在熵上优于Reissner-Nordström；一些Q-hairy BH溶液可能会被过度充电。我们还讨论了应用于电真空加最小耦合标量场的文献中一些著名的无毛定理是如何被这种新型黑洞绕过的。
The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a Q-ball type potential for the scalar field, we dub these configurations Q-clouds, in the test field approximation. The clouds exist under a resonance condition, at the threshold of (charged) superradiance. This is similar to the stationary clouds supported by Kerr BHs, which exist for a synchronisation condition, at the threshold of (rotational) superradiance. In contrast with the rotating case, however, Q-clouds require the scalar field to be massive and self-interacting; no similar clouds exist for massive but free scalar fields. First, considering a decoupling limit, we construct Q-clouds around Schwarzschild and Reissner–Nordström BHs, showing there is always a mass gap. Then, we make the Q-clouds backreact, and construct fully non-linear solutions of the Einstein–Maxwell-gauged scalar system describing spherical, charged BHs with resonant, scalar Q-hair. Amongst other properties, we observe there is non-uniqueness of charged BHs in this model and the Q-hairy BHs can be entropically preferred over Reissner–Nordström, for the same charge to mass ratio; some Q-hairy BH solutions can be overcharged. We also discuss how some well known no-hair theorems in the literature, applying to electro-vacuum plus minimally coupled scalar fields, are circumvented by this new type of BHs.