A scattering construction for nonlinear wave equations on Kerr-Anti de Sitter spacetimes

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• Gemma Hood (Leipzig)
• Monday 23 June 2025, 14:00-15:00
• MR13.

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

Given the sharp logarithmic decay of linear waves on the Kerr-AdS black hole (Holzegel, Smulevici ‘13), it is expected that the Kerr-AdS spacetime is unstable as a solution of the Einstein vacuum equations. However, the scattering construction presented here for exponentially decaying nonlinear waves on a fixed Kerr-AdS background serves as a first step to confronting the scattering problem for the full Einstein system. In this context, one may hope to derive a class of perturbations of Kerr-AdS which remain ‘close’ and dissipate sufficiently fast.

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

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