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A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter
December 8, 2022 @ 9:30 am - 10:30 am
![CMSA GR Seminar 12.08.22](https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-12.08.22-1.png)
General Relativity Seminar
Speaker: Allen Fang (Princeton)
Title: A new proof for the nonlinear stability of slowly-rotating Kerr-de Sitter
Abstract: 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.