Russian Physics Journal

, Volume 42, Issue 10, pp 881–888 | Cite as

Macroscopic Maxwell's equations of the general theory of relativity

  • A. V. Zakharov
Physics of Elementary Particles and Field Theory


Covariant Maxwell's equations of the general theory of relativity for a system of electromagnetically and gravitationally interacting particles of the form
$$F_{;k}^{ik} = - \frac{{4\pi }}{c}J^i ,F_{\left( {ijk} \right)} = 0$$
are averaged over ensembles of particles with consideration of their electromagnetic and gravitational interactions with a medium. As a result, macroscopic electrodynamic equations are derived for a continuous medium in which the influence of interactions on the macroscopic characteristics of the medium is taken into account. Various manifestations of this influence are completely caused by effects of the general theory of relativity.


Random Function Current Vector Gravitational Interaction Correlation Region Canonical Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1975).MATHGoogle Scholar
  2. 2.
    Yu. L. Klimontovich, Zh. Eksp. Teor. Fiz.,37, 735 (1959).MATHGoogle Scholar
  3. 3.
    N. A. Chernikov, Nauchn. Dokl. Vyssh. Shkoly, Fiz.-Mat., No. 1, 168 (1959).MATHGoogle Scholar
  4. 4.
    A. V. Zaknarov, Zh. Eksp. Teor. Fiz.,110, 3 (1996).Google Scholar
  5. 5.
    A. V. Zakharov, Ibid.,99, 769 (1989).ADSGoogle Scholar
  6. 6.
    A. V. Zakharov, Ibid.,112, 1153 (1997).Google Scholar
  7. 7.
    A. V. Zakharov, Ibid.,86, 3 (1984).ADSGoogle Scholar
  8. 8.
    S. T. Belyaev and G. I. Budker, Dokl. Akad. Nauk SSSR,107, 807 (1956).MATHMathSciNetGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publisher 1999

Authors and Affiliations

  • A. V. Zakharov

There are no affiliations available

Personalised recommendations