A nonlinear tensor field and the second metric tensor

Details A nonlinear tensor field and the second metric tensor A nonlinear tensor field and the second metric tensor

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ap.....39...71g&link_type=abstract

Astrophysics, Volume 39, Issue 1, pp.71-77

Astronomy and Astrophysics

Astrophysics

Scientific paper

In our preceding paper {see [L. Sh. Grigorian and S. Gottlöber, Astrofizika (in press)]} we investigated a self-gravitating system consisting of a scalar field and a linear tensor field ωik= ωki with minimal coupling and with allowance for the action of vacuum polarization effects. In the present paper we investigate the case of a nonlinear tensor field ωik. The action S{ψ/(ɛ)} of the field ωik is determined by the difference Rik — Řik, where Rik is the space-time Ricci tensor and Rik is the analogous quantity constructed using the metric γik=gik+ɛωik induced by ωik (ɛ is a free parameter). Heremathop {lim}limits_{\varepsilon to 0} S{ψ/(ɛ)} coincides with the previously known expression for the action of a linear field ωik. Equations of motion are derived for ωik in curved space-time. The energy-momentum metric tensor, determining the contribution of ωik to the gravitational field equations, is calculated.

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