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

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arxiv 1911.04983 v2 pith:MSPNYYNO submitted 2019-11-12 gr-qc

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

classification gr-qc
keywords connectionweylcoupledgravitymodelnon-minimallyadmitscosmological
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity

    gr-qc 2025-09 unverdicted novelty 4.0

    Derives cosmological field equations and preliminary scalar perturbation equations for a non-minimally coupled Weyl-connection gravity model that introduces non-metricity to mimic dark sectors.