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Phys. Rev. Lett. 43, 1457–1459 (1979)

Positivity of the Total Mass of a General Space-Time

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Richard Schoen
Courant Institute of Mathematical Sciences, New York University, New York, New York 10003

Shing-Tung Yau
Department of Mathematics, Stanford University, Stanford, California 94305

Received 16 July 1979; published in the issue dated 12 November 1979

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 has been demonstrated in the important case when the space-time admits a maximal slice. Here this assumption is removed and the general mass conjecture is demonstrated. Also the topology of all possible asymptotically flat space-times satisfying the local energy condition is determined.

© 1979 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.43.1457
DOI:
10.1103/PhysRevLett.43.1457
PACS: