corner
corner

Phys. Rev. Lett. 42, 547–548 (1979)

Proof of the Positive-Action Conjecture in Quantum Relativity

Download: PDF (97 kB) Buy this article Export: BibTeX or EndNote (RIS)

Richard M. Schoen
Department of Mathematics, University of California, Berkeley, California 94720

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

Received 27 November 1978; published in the issue dated 26 February 1979

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.

© 1979 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.42.547
DOI:
10.1103/PhysRevLett.42.547
PACS: