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A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter

CMSA EVENTS: CMSA GENERAL RELATIVITY SEMINAR

When: December 8, 2022
9:30 am - 10:30 am
Where: Virtually
Speaker: Allen Fang - Princeton University

The nonlinear stability of the slowly-rotating Kerr-de Sitter family was first proven by Hintz and Vasy in 2016 using microlocal techniques. In my talk, I will present a novel proof of the nonlinear stability of slowly-rotating Kerr-de Sitter spacetimes that avoids frequency-space techniques outside of a neighborhood of the trapped set. The proof uses vector field techniques to uncover a spectral gap corresponding to exponential decay at the level of the linearized equation. The exponential decay of solutions to the linearized problem is then used in a bootstrap proof to conclude nonlinear stability.


For more information on how to join, please see: https://cmsa.fas.harvard.edu/event/general-relativity-2021-22/