Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T13:42:20.214Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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