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MGR Programmatic Seminar: Resonances in general relativity October 22, 2013 (01:30 PM PDT - 02:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Semyon Dyatlov (University of California, Berkeley)
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We discuss long time behavior of linear scalar waves on Kerr and Kerr-de Sitter black hole backgrounds and their stationary perturbations. The physical motivation comes from the analysis of gravitational waves emitted during the ringdown stage of a large scale event (such as merging with another black hole). The properties of these waves, and their frequencies, called quasi-normal modes or resonances, depend on the structure of the set of all trapped light rays.

In the considered Kerr(-de Sitter) case, the trapped set is r-normally hyperbolic and we can provide a detailed description of quasi-normal modes and long-time behavior of linear waves.

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