Proof of the Positive-Action Conjecture in Quantum Relativity

Richard M. Schoen and Shing-Tung Yau
Phys. Rev. Lett. 42, 547 – Published 26 February 1979
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Abstract

We extend our previous method of proving the positive-mass conjecture to prove the positive-action conjecture of Hawking for asymptotically Euclidean metric. This result is crucial in proving the path integral convergent in the Euclidean quantum gravity theory.

  • Received 27 November 1978

DOI:https://doi.org/10.1103/PhysRevLett.42.547

©1979 American Physical Society

Authors & Affiliations

Richard M. Schoen

  • Department of Mathematics, University of California, Berkeley, California 94720

Shing-Tung Yau

  • Department of Mathematics, Stanford University, Stanford, California 94305

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Issue

Vol. 42, Iss. 9 — 26 February 1979

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