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Relativistic Theories of Gravitation

Nature volume 220, pages 696–697 (1968)Cite this article

Abstract

THE results which general relativity predicts for the three well known tests (the motion of the perihelion, the deflexion of light rays and the gravitational red-shift) and for new tests which we have proposed1,2 in the one-body problem are also obtained in certain Lorentz-invariant theories of gravitation. Whitrow and Morduch3,4 have examined the Lorentz-invariant theories of gravitation developed earlier and have calculated most of the known empirical tests for these theories in order to analyse the possibility of deciding experimentally between them and Einstein's general theory of relativity. We have continued the work of Whitrow and Morduch by classifying all possible Lorentz-invariant theories of gravitation that satisfy certain general axioms and by analysing the one-body problem in all these theories.

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References

  1. Kustaanheimo, P. E., Soc. Sci. Fenn. Comm. Phys. Math., 32 (1966).

  2. Kustaanheimo, P. E., and Nuotio, V. S., Publ. Astro. Obs. Helsinki No. 128 (1967).

  3. Whitrow, G. J., and Morduch, G. E., Nature, 188, 790 (1960).

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  4. Whitrow, G. J., and Morduch, G. E., Vistas in Astronomy, 6, 1 (1965).

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Helsinki, Helsinki, Finland

    P. E. KUSTAANHEIMO & V. S. NUOTIO

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  1. P. E. KUSTAANHEIMO
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  2. V. S. NUOTIO
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KUSTAANHEIMO, P., NUOTIO, V. Relativistic Theories of Gravitation. Nature 220, 696–697 (1968). https://doi.org/10.1038/220696a0

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