Overdamped quasinormal modes for Schwarzschild black holes

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• Maciej Zworski (Berkeley)
• Thursday 07 March 2024, 15:00-16:00
• MR5.

If you have a question about this talk, please contact Dr Greg Taujanskas.

We prove that the number of quasinormal modes (QNM) for Schwarzschild and Schwarzschild–de Sitter (SdS) black holes in a disc is bounded from below by the third power of the radius of the disc (in fact we give asymptotics in conic neighbourhoods of the real axis). This shows that Jezequel’s recent global upper bound (in the case of SdS) is sharp. The argument is an application of spectral asymptotics results for non-self-adjoint operators which provide a finer description of QNM , explaining the emergence of a distorted lattice ``deep in the complex” and generalizing the lattice structure in strips described by Sa Barreto and the speaker 30 years ago. The precise asymptotics are available in the region where numerics break down due to pseudospectral effects, a phenomenon which we will illustrate experimentally. The talk is based on joint work with M. Hitrik.

This talk is part of the Partial Differential Equations seminar series.

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