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arXiv · gr-qc/0212093

Complex angular momentum in black hole physics and quasinormal modes

Yves Décanini·Antoine Folacci·Bruce Jensen
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Abstract

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 the spectrum of the quasinormal-mode complex frequencies from Regge trajectories. The notion of 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.

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Yves Décanini, Antoine Folacci, Bruce Jensen. 2003-06-13. Complex angular momentum in black hole physics and quasinormal modes. https://doi.org/10.1103/physrevd.67.124017

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