General Relativity and Quantum Cosmology
[Submitted on 30 Nov 2021 (v1), last revised 5 Nov 2024 (this version, v3)]
Title:Spectral Problems for Quasinormal Modes of Black Holes
View PDF HTML (experimental)Abstract: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, Padé approximants, etc. 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.
Submission history
From: Yasuyuki Hatsuda [view email][v1] Tue, 30 Nov 2021 08:12:41 UTC (2,263 KB)
[v2] Wed, 22 Dec 2021 00:03:33 UTC (2,364 KB)
[v3] Tue, 5 Nov 2024 01:39:24 UTC (2,364 KB)
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