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Derivation of Treder-type gravitational equations from a variational principle

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Abstract

A single variation principle for the gravitational field and nongravitating matter leading to Treder-type gravitational equations is formulated. It is shown that when Treder's theory is modified in this manner the resulting special-relativistic theory of gravitation with 16-component gravitational potentials h (α)µ predicts 7/12 of the perihelion advance and 1/2 of the light deflection and light delay predicted by general relativity.

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Literature cited

  1. H.-J. Treder, Ann. d. Phys.,20, 194 (1967).

    Google Scholar 

  2. H.-J. Treder, Mber. Dt. Akad. Wiss. Berlin,10, 40 (1968).

    Google Scholar 

  3. H.-J. Treder, Gravitationstheorie und Aquivalenzprinzip, Berlin (1971).

  4. D.-E. Liebscher, Int. J. Theor. Phys.,2, 89 (1969).

    Google Scholar 

  5. E. Kreisel, Ann. d. Phys.,23, 180 (1969).

    Google Scholar 

  6. U. Kasper, Ann. d. Phys.,20, 265 (1967).

    Google Scholar 

  7. H. Oleak, Astron. Nachr.,295, 107 (1974).

    Google Scholar 

  8. U. Kasper, Astron. Nachr.294, 201 (1973).

    Google Scholar 

  9. U. Kasper and D.-E. Liebscher, Ann. d. Phys.,30, 129 (1973).

    Google Scholar 

  10. L. Infeld, Bull. Acad. Polon. Sci., Cl. III,5, 491 (1957).

    Google Scholar 

  11. I. I. Shapiro et al., Phys. Rev. Lett.,26, 1132 (1971).

    Google Scholar 

  12. K. S. Thorne, Invited Talk at Sixth Conference on General Relativity, Copenhagen (1972).

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Authors and Affiliations

  1. V. I. Lenin Belorussian State University, USSR

    V. N. Tunyak

Authors
  1. V. N. Tunyak
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 36–39, January, 1976.

I thank Professor D. D. Ivanenko for a helpful discussion.

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Tunyak, V.N. Derivation of Treder-type gravitational equations from a variational principle. Soviet Physics Journal 19, 25–28 (1976). https://doi.org/10.1007/BF00894309

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  • DOI: https://doi.org/10.1007/BF00894309

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