论文标题
固定带电标质头发的短短短暂？
How short can stationary charged scalar hair be?
论文作者
论文摘要
到目前为止，已经确定的是，带电的旋转Kerr-Newman黑洞可以支持由最小耦合的大型标量场制成的结合状态带电物质配置。我们在这里证明，外部支持的固定电荷标量配置{\ es不能}是任意紧凑的。特别是，对于由电荷旋转近端Kerr-Newman黑洞支撑的线性充电的大量标量字段，我们得出了非常紧凑的下限$（r _ {\ text {field}} - r _+）/（r _+ - + - + - r _-- r _--）> 1/s^2 $ on Extpersed offected the Exterthe gield scape scailds clouds clouds。 $ r _ {\ text {field}} $是固定标度配置的径向峰位置，$ \ {s \ equiv j/m^2，r _ {\ pm} \} $分别是尺寸无尺寸的无角度动量和支持中央的kerr radii radii的中央radii radii。值得注意的是，这种下限是普遍的，因为它独立于受支持的带电标量场的物理参数（适当的质量，电荷和角动量）。
It is by now well established that charged rotating Kerr-Newman black holes can support bound-state charged matter configurations which are made of minimally coupled massive scalar fields. We here prove that the externally supported stationary charged scalar configurations {\it cannot} be arbitrarily compact. In particular, for linearized charged massive scalar fields supported by charged rotating near-extremal Kerr-Newman black holes, we derive the remarkably compact lower bound $(r_{\text{field}}-r_+)/(r_+-r_-)>1/s^2$ on the effective lengths of the external charged scalar `clouds' [here $r_{\text{field}}$ is the radial peak location of the stationary scalar configuration, and $\{s\equiv J/M^2, r_{\pm}\}$ are respectively the dimensionless angular momentum and the horizon radii of the central supporting Kerr-Newman black hole]. Remarkably, this lower bound is universal in the sense that it is independent of the physical parameters (proper mass, electric charge, and angular momentum) of the supported charged scalar fields.
