Communications in Mathematical Physics

, Volume 79, Issue 2, pp 231–260

Proof of the positive mass theorem. II

  • Richard Schoen
  • Shing-Tung Yau

DOI: 10.1007/BF01942062

Cite this article as:
Schoen, R. & Yau, ST. Commun.Math. Phys. (1981) 79: 231. doi:10.1007/BF01942062


The positive mass theorem states that for a nontrivial isolated physical system, the total energy, which includes contributions from both matter and gravitation is positive. This assertion was demonstrated in our previous paper in the important case when the space-time admits a maximal slice. Here this assumption is removed and the general theorem is demonstrated. Abstracts of the results of this paper appeared in [11] and [13].

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Richard Schoen
    • 1
  • Shing-Tung Yau
    • 2
  1. 1.University of California, BerkeleyBerkeleyUSA
  2. 2.Institute for Advanced StudyPrincetonUSA