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تسجيل مستخدم جديدConstruction of Cauchy Data of Vacuum Einstein field equations Evolving to Black Holes
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We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a trapped surface. Moreover, the datum is exactly a constant time slice in Minkowski space-time inside and exactly a constant time slice in Kerr space-time outside. The proof makes use of the full strength of Christodoulous work on the dynamical formation of black holes and Corvino-Schoens work on the constructions of initial data set.
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