Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-20T13:15:26.736Z Has data issue: false hasContentIssue false
  • English
  • Français

On the variational derivation of Einstein's strong field equations

Published online by Cambridge University Press:  17 February 2009

L. J. Gregory  and
A. H. Klotz
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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
The ANZIAM Journal , Volume 19 , Issue 3 , June 1976 , pp. 381 - 386
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Einstein, A., Ann. Math. 46 (1945), 578.CrossRefGoogle Scholar
[2]Tonnelat, M. A., Les Théories Unitaries de l'Électromagnetisme et de la Gravitation (Paris, 1965).Google Scholar
[3]Halvaty, V., Geometry of Einstein's Unified Field Theory (Groningen, 1957).Google Scholar
[4]Klotz, A. H. and Russell, G. K., Acta Phys. Polon. B3 (1972), 413.Google Scholar
[5]Einstein, A. and Straus, E. G., Ann. Math. 47 (1946).CrossRefGoogle Scholar
[6]Klotz, A. H. and Russell, G. K., Acta Phys. Polon., B4 (1973), 579.Google Scholar
[7]Einstein, A. and Kaufman, B., Ann. Math. 62 (1955) 128.CrossRefGoogle Scholar