Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
Piotr T. Chrusciel, Daniel Maerten
Abstract
We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions n 3, are only possible for initial data arising from embeddings in Minkowski space-time.
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