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
  • 22 Downloads

Abstract

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.

Keywords

Random Function Current Vector Gravitational Interaction Correlation Region Canonical Parameter 

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Copyright information

© Kluwer Academic/Plenum Publisher 1999

Authors and Affiliations

  • A. V. Zakharov

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