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Non-linear Lagrangians and Palatine's device

Published online by Cambridge University Press:  24 October 2008

H. A. Buchdahl
H. A. Buchdahl
Affiliation:
Institute for Advanced StudyPrinceton
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Abstract

Field equations in general relativity theory have sometimes been generated by subjecting, in an invariant action integral, the components of linear connexion and the components of a covariant tensor of valence 2 to independent variation. The conceptual objections to this process, and some of the manifold formal difficulties inherent in it, are discussed in some detail. At the same time certain results obtained elsewhere are strengthened and in part corrected.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 4 , October 1960 , pp. 396 - 400
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

(1)Stephenson, G.Nuovo Cim. 9 (1958), 263.CrossRefGoogle Scholar
(2)Higgs, P. W.Nuovo cim. 11 (1959), 816.CrossRefGoogle Scholar
(3)Stephenson, G.Proc. Camb. Phil. Soc. 56 (1960), 247.CrossRefGoogle Scholar
(4)Palatini, A.R.C. Circ. mat. Palmero, 43 (1919), 203.Google Scholar
(5)Buchdahl, H. A.J. Lond. Math. Soc. 26 (1951), 150.CrossRefGoogle Scholar
(6)Buchdahl, H. A.Quart. J. Math. 19 (1948), 150.CrossRefGoogle Scholar
(7)Buchdahl, H. A.Proc. Edinb. Math. Soc. 8 (1948), 89.CrossRefGoogle Scholar
(8)Buchdahl, H. A.Proc. Nat. Acad. Sci., Wash., 34 (1948), 66.CrossRefGoogle Scholar