3 papers
gr-qc2025
Solving the constraint equation for general free data
Xuantao Chen, Sergiu Klainerman
We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical…
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…