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Covariant formulation of the weak conservation law in the general theory of relativity without the energy-momentum of the gravitational field

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Abstract

A systematic covariant formulation is given of the weak conservation law in the general theory of relativity for arbitrary coordinate transformations without introducing the unsatisfactory definition of the energy-momentum of the gravitational field.

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Literature cited

  1. A. Einstein, Sitzungsber. Preuss. Akad. Wiss.,42, 1111 (1916).

    Google Scholar 

  2. H. Lorentz, Versl. Kön. Akad. Wet. Amsterdam,25, 468 (1916).

    Google Scholar 

  3. T. Levi-Civita, Rend. Acad. Lincei,26, 381 (1917).

    Google Scholar 

  4. E. Schrödinger, Phys. Z.,19, 4 (1918).

    Google Scholar 

  5. A. Einstein, Phys. Z.,19, 115 (1918).

    Google Scholar 

  6. H. Bauer, Phys. Z.,19, 163 (1918).

    Google Scholar 

  7. A. Einstein, Sitzungsber. Preuss. Akad. Wiss.,1, 154 (1918).

    Google Scholar 

  8. I. Souriau, C. R. Acad. Sci. Paris,245, 958 (1957).

    Google Scholar 

  9. S. Mandelstam, Ann. Phys.,19, 25 (1962).

    Google Scholar 

  10. V. N. Folomeshkin, Acta Phys. Pol.,36, 439 (1969).

    Google Scholar 

  11. A. A. Logunov and V. N. Folomeshkin, Teor. Mat. Phys.,32, No. 2, 147 (1977).

    Google Scholar 

  12. C. M. Möller, Mat. Fys. Skr. Dan. Vid. Selsk.,35, No. 3 (1966).

  13. K. Westpfahl, Fortschr. Phys.,15, 309 (1967).

    Google Scholar 

  14. N. V. Mitskevich, Physical Fields in the General Theory of Relativity [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  15. V. I. Rodichev, Theory of Gravitation in an Orthogonal Frame of Reference [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  16. B. N. Frolov, Vestn. Mosk. Gos. Univ., Ser. Fiz. Astron., No. 2, 56 (1964).

    Google Scholar 

  17. G. Yu. Treder, Theory of Gravitation and the Principle of Equivalence [in Russian], Atomizdat, Moscow (1973).

    Google Scholar 

  18. V. I. Babetskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 69 (1977).

    Google Scholar 

  19. V. N. Tunyak, Reports of IV Soviet Gravitational Conference [in Russian], Minsk (1976). p. 58.

  20. V. N. Tunyak, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 2, 66 (1977).

    Google Scholar 

  21. A. S. Eddington, The Mathematical Theory of Relativity, Chelsea Publ. (1975).

  22. M. F. Shirokov, in; Problems of Gravitation [in Russian], Tbilisi Gos. Univ., Tbilisi (1965), p. 18.

    Google Scholar 

  23. M. F. Shirokov, Reports of IV Soviet Gravitational Conference, Minsk (1969), p. 44.

  24. R. Utiyama, Phys. Rev.,101, 1597 (1956).

    Google Scholar 

  25. N. P. Konopleva and V. N. Popov, Gauge Fields [in Russian], Atomizdat, Moscow (1972).

    Google Scholar 

  26. D. D. Ivanenko and G. A. Sardanashvili, in; Current Problems of Theoretical Physics [in Russian], Mos. Gos. Univ., Moscow (1976). p. 97.

    Google Scholar 

  27. K. Hayashi and A. Bregman, Ann. Phys.,75, 562 (1973).

    Google Scholar 

  28. V. N. Tunyak, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 100 (1977).

    Google Scholar 

  29. V. V. Sidorov, in; Studies in Nuclear and Theoretical Physics [in Russian], Fan, Tashkent (1969). p. 124.

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 13–16 July, 1979.

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Tunyak, V.N. Covariant formulation of the weak conservation law in the general theory of relativity without the energy-momentum of the gravitational field. Soviet Physics Journal 22, 694–697 (1979). https://doi.org/10.1007/BF00902878

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  • DOI: https://doi.org/10.1007/BF00902878

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