论文标题
Schwarzschild黑洞的准模式在真实轴上
Quasinormal modes of Schwarzschild black holes on the real axis
论文作者
论文摘要
我们研究了Schwarzschild Black Hole及其扰动的兄弟姐妹对重力波的散射，以研究拟议的准模式对环down信号的频谱不稳定性的影响。我们的结果表明，主要的（即，最小型阻尼）未扰动的Schwarzschild黑洞的基本响铃信号的信息被归因于透射振幅定义的相移（1/A__ {in}中）。这大致与量子系统的共振印在S-Matrix的相移中的事实。围绕基本模式的振荡频率的相移仅扰动，即使准模式光谱在遥远位置处于扰动凹凸不稳定，这表示环down信号的稳定性。同时，调制低频处的相移，这基本反映了不稳定后与准模式光谱相关的回声信号的延迟激发。
We study the scattering of gravitational waves by a Schwarzschild black hole and its perturbed siblings to investigate influences of proposed spectral instability of quasinormal modes on the ringdown signal. Our results indicate that information of dominant ringdown signals, which are ascribed to the fundamental (i.e., least damping) quasinormal mode of unperturbed Schwarzschild black holes, is imprinted in the phase shift defined from the transmission amplitude (1/A_{in} in our notation). This approximately parallels the fact that the resonance of quantum systems is imprinted in the phase shift of the S-matrix. The phase shift around the oscillation frequency of the fundamental mode is modified only perturbatively even if the quasinormal-mode spectrum is destabilized by a perturbative bump at a distant location, signifying the stability of the ringdown signal. At the same time, the phase shift at low frequencies is modulated substantially reflecting the late-time excitation of echo signals associated with the quasinormal-mode spectrum after destabilization.
