Communications in Mathematical Physics

, Volume 80, Issue 3, pp 381–402

A new proof of the positive energy theorem

  • Edward Witten

DOI: 10.1007/BF01208277

Cite this article as:
Witten, E. Commun.Math. Phys. (1981) 80: 381. doi:10.1007/BF01208277


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.

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Edward Witten
    • 1
  1. 1.Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA

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