从 Schwarzschild 黑洞的边界条件直接寻找准振荡模
广义相对论与量子宇宙学
2026-01-06 v4
摘要
我们提出了一种概念上简洁的方法，用于寻找 Schwarzschild 黑洞中的准振荡模 (QNMs)。准振荡模由其在无穷远处和视界处的边界条件决定。这些边界条件包括：准振荡模应在无穷远处纯粹发出波动，不应有来自无穷远处的入射波在黑洞上散射。我们通过消除无穷远处的入射波来寻找 QNMs，但被迫在有限距离处工作，以避免无穷大的发出波。这一技术让我们能够找到基准 QNM，但未能找到更高次谐波，因为入射波总是由于耗散而消失。由于边界条件在有限距离处施加，该技术本质上是近似的。
关键词
引用
@article{arxiv.2503.01029,
title = {Finding quasinormal modes directly from the boundary conditions in a Schwarzschild black hole},
author = {Jeff Steinhauer},
journal= {arXiv preprint arXiv:2503.01029},
year = {2026}
}
备注
10 pages, 4 figures. In version 2, 5 sentences were removed, which discussed an incorrect limitation on the real part of the frequency. Version 3 emphasizes that a redefinition of quasinormal modes can maintain the discrete spectrum, and a brief discussion of some previous works is added. Version 4 emphasizes that the calculation is a method of finding quasinormal modes