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The bimetric theory of gravitation with a dynamic background metric
Authors:L Sh Grigoryan
Institution:(1) Institute for Applied Problems of Physics, Armenian Academy of Sciences, Armenia;(2) Erevan State University, Armenia
Abstract:We study the bimetric theory of gravitation with background metric gammaik. In contrast to the accepted point of view, in which gammaik, is a metric given a priori, we assume that gammaik 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) gammaik can be described by the Einstein equation in space-time with the metric gammaik and (2) the energy-momentum tensor of the graviational field gammaik, is the source of gammaik. In this sense gammaik 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.Translated fromAstrofizika, Vol. 37, No. 3, 1994.The author is grateful to the participants in the seminar of the Department of Theoretical Physics at Erevan State University, and also to W. Bleier, K. A. Bronnikov, V. N. Mel'nikov, and G. Yu. Treder for discussions and valuable remarks. The investigations presented in this paper were partly financed by the International Scientific Fund, grant Ph1-262-0902.
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