论文标题
带电的Reissner-Nordström黑洞的自发标量：沿着存在线的分析处理
Spontaneous scalarization of charged Reissner-Nordström black holes: Analytic treatment along the existence line
论文作者
论文摘要
最近已经证明，带电的黑洞可以支持由无质量标量磁场制成的空间规则物质配置，这些配置是非最小耦合到带电时空的电磁场的。有趣的是，使用数值技术，已经揭示了组成的带电 - 孔 - 非甲米耦合 - 偶联的scalar-field配置的共鸣光谱的特征是荷兰的离散标量表$α\ in \ in \ {[α^{α^{ - } n} Q}),α^{+}_{n}({\bar Q}]\}_{n=0}^{n=\infty}$, where $α$ is the dimensionless coupling constant of the theory and ${\bar Q}\equiv Q/M$ is the dimensionless charge-to-mass ratio of the central supporting black hole. In the present paper we use {\ IT分析}技术是为了研究空间规则非最少耦合的标量场构型（线性标量云）的物理和数学特性，这些配置是由中央带电的Reissner-nordström黑孔提供的。 Q}）\} _ {n = 0}^{n = \ infty} $，它表征了系统的{\ ITENCENCE-LINE}的组成的黑洞 - 线性磁场配置，这是一个关键的线路，这是将裸露的黑孔分开的裸露的黑孔与毛茸茸的标量化的量相关的结果。
It has recently been demonstrated that charged black holes can support spatially regular matter configurations made of massless scalar fields which are non-minimally coupled to the electromagnetic field of the charged spacetime. Intriguingly, using numerical techniques, it has been revealed that the resonant spectra of the composed charged-black-hole-nonminimally-coupled-scalar-field configurations are characterized by charge-dependent discrete scalarization bands $α\in\{[α^{-}_{n}({\bar Q}),α^{+}_{n}({\bar Q}]\}_{n=0}^{n=\infty}$, where $α$ is the dimensionless coupling constant of the theory and ${\bar Q}\equiv Q/M$ is the dimensionless charge-to-mass ratio of the central supporting black hole. In the present paper we use {\it analytical} techniques in order to study the physical and mathematical properties of the spatially regular non-minimally coupled scalar field configurations (linearized scalar clouds) which are supported by the central charged Reissner-Nordström black holes. In particular, we derive a remarkably compact formula for the discrete resonant spectrum $\{α^-_n({\bar Q})\}_{n=0}^{n=\infty}$ which characterizes the composed black-hole-linearized-field configurations along the {\it existence-line} of the system, the critical line which separates bare Reissner-Nordström black holes from hairy scalarized black-hole configurations. The analytical results are confirmed by direct numerical computations.
