The symmetric tensor field in the relativistic theory of gravitation

Details The symmetric tensor field in the relativistic theory of gravitation The symmetric tensor field in the relativistic theory of gravitation

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap.....38..261g&link_type=abstract

Astrophysics, Volume 38, Issue 3, pp.261-268

Astronomy and Astrophysics

Astrophysics

Scientific paper

The system of a self-gravitating scalar field is frequently used in inflationary cosmological models. In the present paper we study a more complicated system containing an extra linear tensor field ψik=ψki with minimal coupling. We determine five of the six free parameters that occur in the most general expression for the actionS ψ of this field. In doing so we assume that in flat space-time the field ψik must be invariant under gauge transformations. In a special case theS ψ found becomes a known expression for the action of a massless tensor field ψik. We compute the metric energy-momentum tensor that determines the contribution of ψik to the Einstein equations. We also exhibit the equations of motion of ψik in curved space-time.

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