Quasinormal modes of Schwarzschild black holes on the real axis
Quasinormal modes of Schwarzschild black holes on the real axis
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史瓦西黑洞在实轴上的拟正态模式
DOI：
10.1103/physrevd.107.044012
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发表时间：
2023
影响因子：
5
通讯作者：
Tanaka Takahiro
中科院分区：
文献类型：
--
作者：
Kyutoku Koutarou;Motohashi Hayato;Tanaka Takahiro
我们研究了Schwarzschild黑洞及其受扰动的兄弟黑洞对引力波的散射，研究了拟正态模谱不稳定性对衰荡信号的影响。我们的研究结果表明，占主导地位的振铃信号的信息，这是归因于基本的（即，最小阻尼）未扰动史瓦西黑洞的准正规模式，是印在相移定义的传输幅度（在我们的符号）。这与量子系统的共振被印刻在矩阵的相移中的事实大致相似。的基本模式的振荡频率周围的相移修改只有扰动，即使准正常模式的频谱是不稳定的扰动颠簸在一个遥远的位置，标志着振铃信号的稳定性。同时，低频处的相移被调制，基本上反映了与失稳之后的准正规模谱相关联的回波信号的后期激励。
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 (in our notation). This approximately parallels the fact that the resonance of quantum systems is imprinted in the phase shift of thematrix. 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.