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arXiv · 1911.04983

Cosmological Solutions of the Non-minimally Coupled Weyl Connection Gravity Theories

Rodrigo Baptista·Orfeu Bertolami
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Abstract

We consider a non-minimally coupled curvature-matter gravity model (NMC) with a Weyl connection, a theory referred to as non-minimally coupled Weyl connection gravity (NMCWCG). The Weyl connection is an affine connection that is not compatible with the metric, and involves a vector field. Assuming a vacuum expectation value for the vector field and a matter Lagrangian that only contains the contributions of the vacuum energy, we show that the model admits solutions in the space-form with a reference curvature that can be fine-tuned to much smaller values than the contribution of the matter fields. This shows that, at least in principle, the model admits a workable cosmological description.

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Rodrigo Baptista, Orfeu Bertolami. 2019-11-12. Cosmological Solutions of the Non-minimally Coupled Weyl Connection Gravity Theories. https://doi.org/10.1088/1361-6382%2Fab7bb8

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