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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
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Abstract

We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions $n\ge 3$, are only possible for initial data arising from embeddings in Minkowski space-time.

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Piotr T. Chrusciel, Daniel Maerten. 2005-12-06. Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions. https://doi.org/10.1063/1.2167809

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