论文标题
在球形对称黑洞中的大量扰动的后期尾巴上
On the late-time tails of massive perturbations in spherically symmetric black holes
论文作者
论文摘要
首先是由Koyama和Tomimatsu指出的，在合理的假设下，在球形对称的黑洞空位的远区域中，渐近标量扰动的渐近延迟尾巴普遍衰减为$ t^{-5/6} $。较晚的尾巴是由频域绿色功能的分支切割的贡献提供的，该功能是根据相应均匀方程的两个适当溶液构建的。本研究的重点是原始衍生物中未明确考虑的某些特定形式，但在文献中已考虑了其他作者的文献中。在这方面，我们重新评估作者的论点，并提供详细的免费分析，涵盖了一些特定方面。在某些特定情况下，发现尾巴具有$ t^{ - 1} $的形式。我们还讨论了当前发现的可能含义。
It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decays universally as $t^{-5/6}$. The late-time tail is furnished by the contribution from the branch cut of the frequency-domain Green's function, which is constructed in terms of two appropriate solutions of the corresponding homogeneous equation. The present study is focused on some particular forms of the in-going wave that were not explicitly considered in the original derivations but nonetheless have been taken into account in the literature by other authors. In this regard, we reassess the authors' arguments and provide a detailed complimentary analysis that covers a few specific aspects. For some particular cases, the tail is found to possess the form $t^{-1}$. We also discuss the possible implications of the present findings.
