Formation of Trapped Surfaces from Spacelike Initial Data
Abstract
We make use of the free data formalism developed in 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 CK26. The forward integration construction in 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 LiYu.
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