asymptotically flat spacetimes 1Cauchy problem 1short-pulse method 1spacelike initial data 1trapped surfaces 1
From the 1 of 2 linked papers with an AI index.
2 papers
gr-qc2026
Formation of Trapped Surfaces from Spacelike Initial Data
Xuantao Chen, Sergiu Klainerman
The paper constructs specific short‑pulse spacelike initial data for Einstein’s equations and shows how these data can be extended to asymptotically flat Cauchy data, leading to th…
gr-qc2026
Forward Construction of Vacuum Initial Data with Borderline Decay
Xuantao Chen, Sergiu Klainerman
We make use of the free data formalism developed in \cite{CK25} to construct solutions of the Einstein vacuum constraint equations by integrating in the forward direction. This, to…