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A cosmological model in Weyl-Cartan spacetime: I. Field equations and solutions

Dirk Puetzfeld
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Abstract

In this first article of a series on alternative cosmological models we present an extended version of a cosmological model in Weyl-Cartan spacetime. The new model can be viewed as a generalization of a model developed earlier jointly with Tresguerres. Within this model the non-Riemannian quantities, i.e. torsion $T^α$ and nonmetricity $Q_{αβ}$, are proportional to the Weyl 1-form. The hypermomentum $Δ_{αβ}$ depends on our ansatz for the nonmetricity and vice versa. We derive the explicit form of the field equations for different cases and provide solutions for a broad class of parameters. We demonstrate that it is possible to construct models in which the non-Riemannian quantities die out with time. We show how our model fits into the more general framework of metric-affine gravity (MAG).

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Dirk Puetzfeld. 2002-12-30. A cosmological model in Weyl-Cartan spacetime: I. Field equations and solutions. https://doi.org/10.1088/0264-9381%2F19%2F12%2F310

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