Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes

被引：7
|
作者：
Moulin, Flora [1 ]
Barrau, Aurelien [1 ]
机构：
[1] Univ Grenoble Alpes, CNRS, Lab Phys Subat & Cosmol, IN2P3, 53 Ave Martyrs, F-38026 Grenoble, France
来源：
GENERAL RELATIVITY AND GRAVITATION | 2020年 / 52卷 / 08期
关键词：
Black holes; Quasinormal modes; General relativity; Gravitational waves; Isospectrality; HOLE NORMAL-MODES; BLACK-HOLE; WKB APPROACH;
D O I：
10.1007/s10714-020-02737-4
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The deep reason why the equations describing axial and polar perturbations of Schwarzschild black holes have the same spectrum is far from trivial. In this article, we revisit the original proof and try to make it clearer. Still focusing on uncharged and non-rotating black holes, we extend the results to spacetimes including a cosmological constant, which have so far mostly been investigated numerically from this perspective.
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页数：22
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