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arXiv · 2607.11236

Formation of Trapped Surfaces from Spacelike Initial Data

Xuantao Chen·Sergiu Klainerman
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Abstract

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 follows from the local existence result established in \cite{CK26}. The forward integration construction in \cite{CK26} allows us to show that such data can be extended to a set of asymptotically flat Cauchy data. This greatly extends the result of Li--Yu \cite{LiYu}.

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Xuantao Chen, Sergiu Klainerman. 2026-07-13. Formation of Trapped Surfaces from Spacelike Initial Data. https://arxiv.org/abs/2607.11236

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