论文标题

$ C $ - METRIC的动态行为:带电的标量字段,准模式和超赞

Dynamical behavior of the $C$-metric: charged scalar fields, quasinormal modes and superradiance

论文作者

Destounis, Kyriakos, Mascher, Giacomo, Kokkotas, Kostas D.

论文摘要

$ c $ metric是对真空爱因斯坦田间方程的增强对称时空解决方案,该方程描述了在宇宙弦的张力下均匀加速的黑洞。直到最近,就建立了加速黑洞的热力学及其对中性标量扰动的模态稳定性。加速黑洞以融合电荷的概括,即带电的$ c $ metric,具有三个不同的准模式频率系列;复杂的光子表面准模式与光子表面赤道赤道平面相关的不稳定的空颗粒相关,纯粹的想象加​​速度模式仅取决于时空的加速度和纯粹想象中的近近端模式的加速度,该模式在事件和Cauchy Hormon接近其他情况下的响起的动力学主导的动态。我们将准模式分析扩展到带电的标量波动,并发现随着标量电荷的增加,光子表面模式相对于它们的中性对应物不断变形。我们进一步发现,当引入标量电荷时,加速度和近超家族将获得振荡频率。最后,我们研究了带电标量单色波的超级放大,撞击了带电加速的黑洞。我们发现,即使由于加速度而降低了超级放大的频率范围,但相对于在Reissner-Nordström黑洞中蒸发的因素的扩增因子大大提高,并且当标量电荷明显大时被最大化。

The $C$-metric is a boost-symmetric spacetime solution to the vacuum Einstein field equations which describes black holes that are uniformly accelerated under the tension of a cosmic string. Only recently the thermodynamics of accelerating black holes and their modal stability against neutral scalar perturbations were concisely established. The generalization of accelerating black holes to incorporate an electric charge, namely the charged $C$-metric, possess three distinct families of quasinormal mode frequencies; the complex photon surface quasinormal modes associated with unstable null particles at the equatorial plane of the photon surface, the purely imaginary acceleration modes whose existence solely depends on the acceleration of spacetime and the purely imaginary near-extremal modes which dominate the dynamics of the ringdown at late times when the event and Cauchy horizon approach each other. We extend the quasinormal mode analysis to charged scalar fluctuations and find that the photon surface modes are continuously deformed with respect to their neutral counterpart as the scalar charge is increased. We further find that the acceleration and near-extremal families acquire an oscillation frequency when the scalar charge is introduced. Finally, we study the superradiant amplification of charged scalar monochromatic waves impinging charged accelerating black holes. We find that even though the frequency range of superradiant amplification is lessened due to the acceleration, the amplification factors are considerably elevated with respect to those transpiring in Reissner-Nordström black holes and are maximized when the scalar charge is significantly large.

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