asymptotically flat spacetimes 1Cauchy problem 1short-pulse method 1spacelike initial data 1trapped surfaces 1
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gr-qc2024
A canonical foliation on null infinity in perturbations of Kerr
Sergiu Klainerman, Dawei Shen, Jingbo Wan
Kerr stability for small angular momentum has been proved in the series of works by Klainerman-Szeftel, Giorgi-Klainerman-Szeftel and Shen. Some of the most basic conclusions of th…
gr-qc2024
Formation of Trapped Surfaces in Geodesic Foliation
Xuantao Chen, Sergiu Klainerman
We revisit the classical results of the formation of trapped surfaces for the Einstein vacuum equation relying on the geodesic foliation, rather than the double null foliation used…
gr-qc2024
Regularity of the Future Event Horizon in Perturbations of Kerr
Xuantao Chen, Sergiu Klainerman
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 rota…