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Scale covariant Lagrangians and spaces reciprocal to static Einstein spaces

Published online by Cambridge University Press:  17 February 2009

H. A. Buchdahl
H. A. Buchdahl
Affiliation:
Department of Theoretical Physics, Faculty of Science, The Australian National University, Canberra, A.C.T. 2600
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Abstract

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The main aim of this paper is to derive a condition whose satisfaction ensures that the Euler–Lagrange equations of a non-linear scale covariant Lagrangian are satisfied by the metric of a space reciprocal to an arbitrary static Einstein space.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 3 , January 1980 , pp. 338 - 344
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Buchdahl, H. A., “Reciprocal static metrics and nonlinear Lagrangians”, Tensor, N.S. 21 (1970), 340–344.Google Scholar
[2]Buchdahl, H. A., “Reciprocal static solutions of the equations G μν = 0”, Quart. J. Math. Oxford 5 (1954), 116–119.CrossRefGoogle Scholar
[3]Buchdahl, H. A., “A special class of solutions of the equations of the gravitational field arising from certain gauge-invariant action principles”, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 66–68.CrossRefGoogle ScholarPubMed