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A cosmological model in Weyl-Cartan spacetime

Dirk PuetzfeldInsitute for Theoretical Physics, University of Cologne, 50923 Köln, GermanyRomualdo TresguerresInstituto de Matemáticas y Física Fundamental, CSIC, Serrano 113 bis, 28006 Madrid, Spain
2001en
ABI

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).

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Cited by 30 references