Astrophysics

, Volume 37, Issue 3, pp 281–287 | Cite as

The bimetric theory of gravitation with a dynamic background metric

  • L. Sh. Grigoryan
Article
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Abstract

We study the bimetric theory of gravitation with background metric γik. In contrast to the accepted point of view, in which γik, is a metric given a priori, we assume that γik is a dynamic variable determined from the condition that the total action of the gravitating system must be an extremum. As a result it turns out that (1) γik can be described by the Einstein equation in space-time with the metric γik and (2) the energy-momentum tensor of the graviational field γik, is the source of γik. In this sense γik can be considered a secondary field in relation to gik. We determine the conditions for existence of integral covariant conservation laws. Two of the latter have no analogs in the theory with the background metric given a priori.

Keywords

Einstein Equation Total Action Dynamic Variable Dynamic Background Bimetric Theory 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • L. Sh. Grigoryan
    • 1
    • 2
  1. 1.Institute for Applied Problems of PhysicsArmenian Academy of SciencesArmenia
  2. 2.Erevan State UniversityArmenia

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