Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions

Details Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions Killing vectors in asymptotically flat space--times: II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions

2005-12-06

arxiv.org/abs/gr-qc/0512042v1

J.Math.Phys. 47 (2006) 022502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1063/1.2167809

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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