Skip to main content
SpringerLink
Log in

Universal form of the equation of motion of the second kind

  • Physics Of Elementary Particles And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

A universal covariant form proposed for the equations of motion of the second kind can be used to study the dynamics of various systems of bodies interacting with each other through arbitrary gauge fields and combinations of such fields. The correspondence between the equations obtained and the analogous equations of motion derived by other authors is considered as the properties of the dynamic system become simpler.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. P. Ryabushko, Motion of Bodies in the General Theory of relativity [in Russian], Vyshéishaya Shkola, Minsk (1979).

    Google Scholar 

  2. A. Papapetrou, Proc. Roy. Soc.,A217, 248 (1951).

    Google Scholar 

  3. A. Papapetrou and W. Urich, Naturforsch.,10a, 209 (195).

  4. P. Nyborg, Nuovo Cimento,23, No. 1, 47 (1962).

    Google Scholar 

  5. K. B. Korotchenko, Izv. Vyssh. Uchebn. Fiz., No. 10, 76 (1990).

  6. A. V. Minkevich and A. A. Sokol'skii, No. 10, 76 (1990).

  7. I. B. Khriplovich, Zh. Éksp. Teor. Fiz.,96, 2(8), 385 (1989).

    Google Scholar 

  8. Yu. S. Vladimirov, The Frame of Reference in Gravitation Theory [in Russian], Energoizdat, Moscow (1982).

    Google Scholar 

  9. V. A. Brumberg and S. M. Kopejkin, Nuovo Cimento,B103, 63 (1988).

    Google Scholar 

  10. L. Infeld and J. F. Plebanski, Motion and Relativity [Russian translation], Izd. Inostr. Lit., Moscow (1962).

    Google Scholar 

  11. V. A. Fock, Theory of Space, Time, and Gravity [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  12. G. Antancopulos, Astrophys. Space. Sci.,62, No. 1, 217 (1979).

    Google Scholar 

  13. T. Ohta and T. Kimura, Prog. Theor. Phys.,79, No. 4, 819 (1988).

    Google Scholar 

  14. I. V. Sandina, Abstracts of Papers Read at the Eighth Russian Gravitational Conference [in Russian], SP AKATEKh, Moscow (1993).

    Google Scholar 

  15. A. I. Alekseeva, Teor. Mat. Fiz.,77, No. 3, 389 (1988).

    Google Scholar 

  16. J. Hornad and J. P. Pare, Class Quant. Grav.,8, No. 8, 1427 (1981).

    Google Scholar 

  17. M. S. Volkov, Grav. Teor. Otnosit., No. 28,22 (1991), Kazan. Gos. Univ., Kazan.

  18. M. Carmeli, Kh. Huleihil, and E. Leibowitz, Gauge Fields. Classification and Equation of Motion, World Sci., Singapore (1988).

  19. V. G. Bagrov, O. V. Baburova, A. S. Vshivtsev, and B. N. Frolov, Preprint ISE SO RAN (Institute of High-Current Electronics, Siberian Branch of the Russian Academy of Sciences), No. 33 (1988).

  20. I. M. Chechin, Abstracts of Papers read at the Eighth Russian Gravitational Conference [in Russian], SP AKATEKh, Moscow (1993).

    Google Scholar 

  21. M. V. Gorbatenko, Abstracts of Papers Read at the Eighth Russian Gravitational Conference [in Russian], SP AKATEKh, Moscow (1993).

    Google Scholar 

  22. K. P. Stanyukovich, Theory of Relativity and Gauge Fields [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  23. R. Utiyama, Elementary Particles and Gauge Fields [Russian translation], Mir, Moscow (1963).

    Google Scholar 

  24. J. Weysenhoff and A. Raabe, Acta Phys. Polon.,9, 7 (1947).

    Google Scholar 

  25. V. B. Bagrov and V. A. Bordovitsyn, Izv. Vyssh. Uchebn. Fiz., No. 2, 67 (1980).

  26. L. M. Chechin, Tr. AFI AN KazSSR [Astrophysical Institute, Academy of Sciences of the Kazakh SSR], Vol. 45, Nauka, Alma-Ata (1986), p. 103.

    Google Scholar 

  27. K. Huang, Quarks, Leptons, and Gauge Fields, World Sci., Singapore (1982).

  28. W. Drechsler and A. Rozenblum, Phys. Lett.,106B, 81 (1981).

    Google Scholar 

  29. S. K. Wong, Nuovo Cimento,65A, 689 (1970).

    Google Scholar 

  30. D. D. Ivanenko, P. I. Pronin, and G. A. Sardanashvili, Gauge Theory of Gravitation [in Russian], Mosk. Univ., Moscow (1985).

    Google Scholar 

  31. L. M. Chenin, Izv. Vyssh. Uchebn. Fiz., No. 10, 117 (1992).

  32. L. M. Chenin, The Problem of Motion in the Einstein Theory of Gravity [in Russian], Kaz. Gos. Univ., Alma-Ata (1981).

    Google Scholar 

  33. L. M. Chenin, Tr. AFI AN KazSSR [Astrophysical Institute, Academy of Sciences of the Kazakh SSR], Vol. 43, Nauka, Alma-Ata (1984), p. 108.

    Google Scholar 

  34. M. F. Shirokov and V. B. Bordovskii, Zh. Éksp. Teor. Fiz.,31, 1027 (1956).

    Google Scholar 

  35. N. M. Petrova, Abstracts of Papers Read at Second Soviet Conference on Gravity [in Russian], Tbilisi Gos. Univ., Tbilisi (1965).

    Google Scholar 

Download references

Authors
  1. L. M. Chechin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Astrophysical Institute, Kazakh Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 22–31, July, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chechin, L.M. Universal form of the equation of motion of the second kind. Russ Phys J 37, 615–622 (1994). https://doi.org/10.1007/BF00559192

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559192

Keywords

Search

Navigation