Quasi-Normal Modes of the Schwarzschild Space-Time

Bernd G. Schmidt
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Bernd G. Schmidt: Max-Planck-Institut für Astrophysik

A chapter in Mathematical Physics X, 1992, pp 464-469 from Springer

Abstract: Abstract ”Loosely speaking, the black hole vibrates around spherical symmetry in a quasi-normal mode, and the mode is slowly damped by gravitational radiation.” With this sentence W.Press [1] introduced 1971 the notion of “quasi-normal modes” into the physics of black holes. The purpose of this note is to clarify the mathematical meaning of that notion. 1 This seems to be useful, because in the literature there is some confusion about which properties of normal modes are shared by quasi-normal ones, and which are not. An example of this confusion is the question about the completeness of the quasi-normal modes.

Keywords: Black Hole; Normal Mode; Quasinormal Mode; Radial Part; Finite Energy (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-77303-7_53

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