The energy and the linear momentum of space-times in general relativity

@article{Schoen1981TheEA,
  title={The energy and the linear momentum of space-times in general relativity},
  author={R. Schoen and S. Yau},
  journal={Communications in Mathematical Physics},
  year={1981},
  volume={79},
  pages={47-51}
}
  • R. Schoen, S. Yau
  • Published 1981
  • Physics
  • Communications in Mathematical Physics
We extend our previous proof of the positive mass conjecture to allow a more general asymptotic condition proposed by York. Hence we are able to prove that for an isolated physical system, the energy momentum four vector is a future timelike vector unless the system is trivial. Furthermore, we allow singularities of the type of black holes. 
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The positive-mass conjecture states that for a nontrivial isolated physical system, the total energy, which includes contributions from both matter and gravitation, is positive. This assertion hasExpand
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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 flatExpand
Energy and the Criteria for Radiation in General Relativity
The Hamiltonian for general relativity obtained in a previous paper furnishes a definition of energy whose physical interpretation is direct, and which fulfills the conditions required of the energyExpand