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Published January 8, 1968 | Published
Journal Article Open

Positive Definiteness of Gravitational Field Energy

Abstract

The total gravitational field energy functional is shown to have only one extremum under variation of the metric field variables. At the extremum the energy vanishes and space is flat; second variation shows that the vacuum state is also a local minimum.

Additional Information

© 1968 American Physical Society. (Received 20 September 1967) Work supported in part by the National Aeronautics and Space Administration under Grant No. NSG 163-61 and by the U. S. Air Force, Office of Aerospace Research, under Grant No. AF 368-67.

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Published - PhysRevLett.20.75.pdf

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August 19, 2023
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