Skip to main content
SpringerLink
Log in

Nonlinear equations of the gravitational field in the special theory of relativity

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

It is proposed that the nonlinearity of the field be taken into account with the help of a method which essentially consists of the fact that the structure of the Lagrangian, expressed in terms of the potential of the field and its derivatives, is not known a priori, but is obtained from a solution of the self-action equation in phase space in which the Lagrangian is the unknown. This equation has a solution and the Lagrangian turns out to be a nonpolynomial function with respect to the field potential. The gravitational field equations following from the variational principle have a similar structure to the equations of general relativity and coincide with them in the linear approximation. The equations of other fields taking into account gravitation, as well as the equation of motion of a test particle in a gravitational field, are constructed.

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

Literature cited

  1. S. Gupta, Rev. Mod. Phys.,29, 334 (1957).

    Google Scholar 

  2. W. Thirring, Ann. Phys.,16, 96 (1961).

    Google Scholar 

  3. T. Kibble, Usp. Fiz. Nauk,96, 497 (1968).

    Google Scholar 

  4. M. A. Tonnelat, Rend. Mat. Applic, Ser. 5,24, 401 (1965).

    Google Scholar 

  5. J. Schwinger, Particles, Sources, and Fields, Vol. 1, Addison-Wesley (1970).

  6. N. N. Razgovorov, Current Theoretical and Experimental Problems in the Theory of Relativity (Abstracts of Reports GR-IV), Minsk (1976), p. 292.

  7. M. Fierz and W. Pauli, Proc. Roy. Soc.,A173, 211 (1939); G. Wentzel, Introduction to the Quantum Theory of Wave Fields [Russian translation], OGIZ, Moscow (1947) pp 240–244.

    Google Scholar 

  8. N. N. Razgovorov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 143 (1976); No. 3, 43 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. All-Union Correspondence Machine Building Institute, USSR

    N. N. Razgovorov

Authors
  1. N. N. Razgovorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 23–27, August, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Razgovorov, N.N. Nonlinear equations of the gravitational field in the special theory of relativity. Soviet Physics Journal 26, 694–698 (1983). https://doi.org/10.1007/BF00898876

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00898876

Keywords

Search

Navigation