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

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.

arXiv comment8 pages, 8 figures

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• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity
• Black hole shadows in nonminimally coupled Weyl connection gravity