Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes

17.06.2021, 16:15  –  Online-Seminar
Forschungsseminar Differentialgeometrie

Oliver Lindblad Petersen (Stanford)

Quasinormal modes are fundamental in the study of wave equations on black hole spacetimes. In this talk, I will explain why the quasinormal modes in the Kerr and Kerr-de Sitter spacetimes are real analytic. This requires new analysis of quasinormal modes near horizons which relies on an important geometric difference between the horizon Killing vector field and the stationary Killing vector field. The analyticity then follows from a recent result in the microlocal analysis of radial points by Galkowski-Zworski. This is joint work with Andras Vasy.

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