, Volume 80, Issue 3, pp 381-402

A new proof of the positive energy theorem

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Abstract

A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theorems have been proved previously, by a different method, by Schoen and Yau.) The relevance of these results to the stability of Minkowski space is discussed.

Research partially supported by NSF Grant PHY78-01221
Communicated by S. T. Yau