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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

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.

Details

Date:
December 8, 2022
Time:
9:30 am - 10:30 am
Event Category:

Venue

Virtual