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BIMSA General Relativity Seminar
BIMSA General Relativity Seminar
Non-linear instability of the Kerr Cauchy horizon near timelike infinity
Non-linear instability of the Kerr Cauchy horizon near timelike infinity
Organizers
Piotr Chrusciel
, Puskar Mondal
,
Bowen Zhao
Speaker
Sebastian Gurriaran
Time
Tuesday, April 28, 2026 4:30 PM - 5:30 PM
Venue
Online
Online
Zoom 712 322 9571
(BIMSA)
Abstract
I will present a recent work on the non-linear instability of the Kerr Cauchy horizon, motivated by The Strong Cosmic Censorship conjecture. More precisely, we consider initial data on an initial hypersurface slightly inside a dynamical vacu um black hole, which settles down to a Kerr black hole while satisfying a precise Price's law-type e Stimate. We prove that the corresponding maximal globally hyperbolic development admits a Cauchy horizon acro ss which the metric is continuously extendible (as shown by Dafermos and Luk) but not Lipschitz exte ndible, due to a curvature blow-up at the Cauchy horizon combined with a work of Sbierski. This curvature blow-up is proven by choosing appropriate gauges allowing for a thorough analysis ins ide the black hole of the non-linear analog of the celebrated Teukolsky equation.