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Quasi-Normal Modes of the Schwarzschild Space-Time

In: Mathematical Physics X

Author

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  • Bernd G. Schmidt

    (Max-Planck-Institut für Astrophysik)

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.

Suggested Citation

  • Bernd G. Schmidt, 1992. "Quasi-Normal Modes of the Schwarzschild Space-Time," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 464-469, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_53
    DOI: 10.1007/978-3-642-77303-7_53
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