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Phys. Rev. D 67, 124017 (2003) [5 pages]

Complex angular momentum in black hole physics and quasinormal modes

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Yves Décanini * and Antoine Folacci †
UMR CNRS 6134 SPE, Equipe Physique Semi-Classique (et) de la Matière Condensée, Université de Corse, Faculté des Sciences, B.P. 52, 20250 Corte, France

Bruce Jensen ‡
Department of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom
Marconi Communications, Brindle Avenue, New Century Park, Coventry CV3 1HJ, United Kingdom

Received 4 February 2003; published 12 June 2003

By using the complex angular momentum approach, we prove that the quasinormal-mode complex frequencies of the Schwarzschild black hole are Breit-Wigner type resonances generated by a family of surface waves propagating close to the unstable circular photon (graviton) orbit at r=3M. Furthermore, because each surface wave is associated with a given Regge pole of the S-matrix, we can construct semiclassically the spectrum of the quasinormal-mode complex frequencies from Regge trajectories. The notion of a surface wave orbiting around black holes thus appears as a fundamental concept which could be profitably introduced in various areas of black hole physics in connection with the complex angular momentum approach.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.67.124017
DOI: 10.1103/PhysRevD.67.124017
PACS: 04.70.Bw, 04.25.Dm, 04.30.Nk

* Electronic address: decanini@univ-corse.fr
† Electronic address: folacci@univ-corse.fr
‡ Electronic address: Bruce.Jensen@marconi.com

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