2 papers
gr-qc2026
Formation of Trapped Surfaces from Spacelike Initial Data
Xuantao Chen, Sergiu Klainerman
We make use of the free data formalism developed in \cite{CK25,CK26} to provide a direct construction of short-pulse type Cauchy data. The construction of the spacelike short-pulse…
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…