On the proof of the positive mass conjecture in general relativity

  title={On the proof of the positive mass conjecture in general relativity},
  author={R. Schoen and S. Yau},
  journal={Communications in Mathematical Physics},
  • R. Schoen, S. Yau
  • Published 1979
  • Mathematics
  • Communications in Mathematical Physics
LetM be a space-time whose local mass density is non-negative everywhere. Then we prove that the total mass ofM as viewed from spatial infinity (the ADM mass) must be positive unlessM is the flat Minkowski space-time. (So far we are making the reasonable assumption of the existence of a maximal spacelike hypersurface. We will treat this topic separately.) We can generalize our result to admit wormholes in the initial-data set. In fact, we show that the total mass associated with each asymptotic… Expand
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