Abstract
A non-standard cosmological model in Weyl-Cartan spacetime was presented1. Within this model the non-Riemannian quantities, i.e. torsion Tα and nonmetricity Qαβ, are proportional to the Weyl 1-form. The hypermomentum Δαβ depends on our ansatz for the nonmetricity and vice versa. In contrast to earlier investigations2 this model incorporates an additional quadratic nonmetricity term in the gauge Lagrangian, the Lagrangian under consideration reads [Formula: see text] We derived the explicit form of the field equations for different cases and provided solutions for a broad class of parameters. It was demonstrated that it is possible to construct models in which the non-Riemannian quantities die out with time. We showed how our model fits into the more general framework of metric-affine gravity (MAG)3. Additionally, we presented some preliminary results from our search for the best-fit parameters4 which was performed by using recent type Ia supernova data5.
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