Spectral Problems for Quasinormal Modes of Black Holes

被引:21
|
作者
Hatsuda, Yasuyuki [1 ]
Kimura, Masashi [1 ]
机构
[1] Rikkyo Univ, Dept Phys, Toshima Ku, Tokyo 1718501, Japan
基金
日本学术振兴会;
关键词
black holes; quasinormal modes; spectral problems; STABILITY; PERTURBATIONS; EQUATIONS; FIELDS;
D O I
10.3390/universe7120476
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes analytical/numerical treatments, semiclassical perturbation theory, the (uniform) WKB method and useful mathematical tools: Borel summations, Pade approximants, and so forth. The article is not comprehensive, but rather looks into a few examples from various points of view. The techniques in this article are widely applicable to many other examples.
引用
收藏
页数:57
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