Regularity of the Future Event Horizon in Perturbations of Kerr

Xuantao Chen; Sergiu Klainerman

paper

Regularity of the Future Event Horizon in Perturbations of Kerr

arXiv:2409.05700

Abstract

The goal of the paper is to show that the event horizons of the spacetimes constructed in \cite{KS}, see also \cite{KS-Schw}, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes $K (a_{0}, m_{0})$ , are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of $∣ a_{0} ∣/ m_{0}$ for which stability can be established.