The bimetric theory of gravitation with a dynamic background metric

Details The bimetric theory of gravitation with a dynamic background metric The bimetric theory of gravitation with a dynamic background metric

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap.....37..281g&link_type=abstract

Astrophysics, Volume 37, Issue 3, pp.281-287

Astronomy and Astrophysics

Astrophysics

Scientific paper

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.

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