Speaker: Sebastian Gurriaran，Sorbonne Universite

Inviter: 马思远

Title: Non-linear instability of the Kerr Cauchy horizon near timelike infinity

Language: English

Time & Venue: 2026.05.21 16:00-17:00 Zoom:891 6962 8747 Password: 123456

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 vacuum black hole, which settles down to a Kerr black hole while satisfying a precise Price’s law-type estimate. We prove that the corresponding maximal globally hyperbolic development admits a Cauchy horizon across which the metric is continuously extendible (as shown by Dafermos and Luk) but not Lipschitz extendible, 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 inside the black hole of the non-linear analog of the celebrated Teukolsky equation.