Stability of the fundamental quasinormal mode in time-domain observations against small perturbations
Stability of the fundamental quasinormal mode in time-domain observations against small perturbations
复制标题
DOI：
10.1103/physrevd.106.084011
复制
发表时间：
2022-05
影响因子：
5
通讯作者：
E. Berti;V. Cardoso;M. Cheung;Francesco Di Filippo;F. Duque;P. Martens;S. Mukohyama
中科院分区：
文献类型：
--
作者：
E. Berti;V. Cardoso;M. Cheung;Francesco Di Filippo;F. Duque;P. Martens;S. Mukohyama
黑洞引力波谱学是测量天体物理黑洞质量和自旋以及检验其克尔性质的重要工具。下一代地面和空间探测器将以大信噪比观测双黑洞合并，并定期进行光谱学研究。最近的研究表明，小扰动，例如，环境效应（“引力波”）对黑洞外部引力波产生和传播的有效势（“大象”）的影响可以导致黑洞准正规谱的任意大的变化，包括预计将主导观测信号的基模。这就提出了一个重要的问题：黑洞光谱学计划对扰动是否稳健？我们澄清的物理行为的时域信号下的潜在的小扰动，我们表明，在提示振铃信号的基本模式的振幅的变化是参数小。这意味着从可观测的时域信号中提取的基本准正规模式对于小扰动是稳定的。泛音的稳定性值得进一步研究。
Black hole spectroscopy with gravitational waves is an important tool to measure the mass and spin of astrophysical black holes and to test their Kerr nature. Next-generation ground- and space-based detectors will observe binary black hole mergers with large signal-to-noise ratios and perform spectroscopy routinely. It was recently shown that small perturbations due, e.g., to environmental effects (the “flea”) to the effective potential governing gravitational-wave generation and propagation in black hole exteriors (the “elephant”) can lead to arbitrarily large changes in the black hole’s quasinormal spectrum, including the fundamental mode, which is expected to dominate the observed signal. This raises an important question: is the black hole spectroscopy program robust against perturbations? We clarify the physical behavior of time-domain signals under small perturbations in the potential, and we show that changes in the amplitude of the fundamental mode in the prompt ringdown signal are parametrically small. This implies that the fundamental quasinormal mode extracted from the observable time-domain signal is stable against small perturbations. The stability of overtones deserves further investigation.