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Gravitation and cosmic expansion in conformal space-time

Published online by Cambridge University Press:  24 October 2008

Feza Gürsey
Affiliation:
Physics DepartmentUniversity of Istanbul

Abstract

A simple theory of gravitation is formulated in conformal Riemannian space-time. The metric is determined by a scalar function which satisfies a linear equation. A conclusion in favour of Einstein's general tensor theory is drawn from a discussion of the corrections to the Newtonian theory for purely gravitational phenomena. Finally the theory is applied to the cosmological problem and especially to the possibility of a steady-state universe. The velocity-distance law is shown to be compatible with a constant uniform distribution of matter without the need of artificial assumptions.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Einstein, A.The meaning of relativity, 4th ed. (London, 1950).Google Scholar
(2)Eisenhart, L. P.Riemannian geometry (Princeton, 1926).Google Scholar
(3)Hoyle, F.Mon. Not. R. astr. Soc. 108 (1948), 372.CrossRefGoogle Scholar
(4)Infeld, L. and Schild, A.Phys. Rev. (2), 68 (1945), 250.CrossRefGoogle Scholar
(5)Infeld, L. and Schild, A.Phys. Rev. (2), 70 (1946), 410.CrossRefGoogle Scholar
(6)Mccrea, W. H.Proc. roy. Soc. A, 206 (1951), 562.Google Scholar
(7)Nordström, G.Ann. Phys., Lpz., 40 (1913), 856.CrossRefGoogle Scholar
(8)Nordström, G.Ann. Phys., Lpz., 42 (1913), 533.CrossRefGoogle Scholar