Positivity of the Total Mass of a General Space-Time

Richard Schoen and Shing-Tung Yau
Phys. Rev. Lett. 43, 1457 – Published 12 November 1979
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Abstract

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.

  • Received 16 July 1979

DOI:https://doi.org/10.1103/PhysRevLett.43.1457

©1979 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 43, Iss. 20 — 12 November 1979

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