On the existence of asymptotically flat initial data sets for space-times containing manifolds with ends

Computer Science

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Scientific paper

A 3-manifoldM is said to have ends if the complement of a compact set inM is the finite disjoint union of sets diffeomorphic to the exterior of a sphere in ℝ3. This paper gives a necessary and sufficient condition for when an asymptotically flat initial data set (bar g, bar π , bar v, bar T) onM is determined by a set of freely specifiable York data.

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