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arXiv 2406.04525gr-qcastro-ph.COhep-th
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黑洞灰体因子与振铃对微小凸起修正的(不)稳定性

(In)stability of the black hole greybody factors and ringdowns against a small-bump correction

Naritaka Oshita, Kazufumi Takahashi, Shinji Mukohyama

AI总结:

本文研究黑洞灰体因子对微扰方程中微小凸起修正的稳定性,发现其在振铃相关频率区域稳定、在高频区域不稳定,并通过WKB分析阐明该行为,证明灰体因子适合建模振铃振幅。

摘要:

最近有人提出,黑洞灰体因子对于建模振铃谱振幅可能具有重要意义。我们研究了灰体因子在微扰方程中受到微小凸起修正时的稳定性。我们发现:(I) 在与振铃相关的频率区域内,灰体因子是稳定的;(II) 在更高频率下,灰体因子会变得不稳定,尤其是对于更尖锐的凸起修正。这种行为与高阶泛音的情况类似,高阶泛音对微小修正也非常敏感。我们通过WKB分析阐明了这种(不)稳定性。由于灰体因子在与振铃主要部分相关的频率区域内是稳定的,我们得出结论:灰体因子适合用于建模振铃振幅。为了以自洽的方式研究凸起修正,我们考虑了在黑洞微扰有效场论的一般框架中可以实现的微小凸起修正。

英文摘要:

Recently, it has been proposed that the black hole greybody factors can be important to model ringdown spectral amplitudes. We study the stability of greybody factors against a small-bump correction in the perturbation equation. We find (I) that the greybody factor is stable in the frequency region relevant to ringdown and (II) that it is destabilized at higher frequencies, especially for a sharper bump correction. This behavior is similar to the case of higher overtones, which is also very sensitive to a small correction. We clarify this (in)stability with the WKB analysis. As the greybody factor is stable at the frequency region relevant to the main part of ringdown, we conclude that the greybody factor is suitable to model ringdown amplitude. In order to investigate a bump correction in a self-consistent manner, we consider the small-bump correction that can be realized in the general framework of effective field theory of black hole perturbations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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