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On the variational derivation of Einstein's strong field equations

Published online by Cambridge University Press:  17 February 2009

L. J. Gregory
Affiliation:
Department of Applied Mathematics, University of Sydney, Sydney, Australia.
A. H. Klotz
Affiliation:
Department of Applied Mathematics, University of Sydney, Sydney, Australia.
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Abstract

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It is shown that the necessary and sufficient condition for the transposition invariance of the field equations derivable from an Einstein-Kaufman variational action principle is the vanishing of xythe vector Γλ. When this condition is satisfied, the field equations become the so-called strong field equations of Einstein. In this sense, the latter can be claimed to follow from the same action principle.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

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