A cosmological model in Weyl-Cartan spacetime

Abstract

We present a cosmological model for early stages of the universe on the basis of a Weyl-Cartan spacetime. In this model, torsion $T^{\alpha }$ and nonmetricity $Q_{\alpha \beta }$ are proportional to the vacuum polarization. Extending earlier work of one of us (RT), we discuss the behavior of the cosmic scale factor and the Weyl 1-form in detail. We show how our model fits into the more general framework of metric-affine gravity (MAG).

19 pages, 5 figures, typos corrected, uses IOP style file

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