Speaker
Description
In Non-Minimally Coupled Weyl Connection Gravity the spacetime geometry is not fully determined by the metric alone, but also involves the Weyl connection characterized by an independent non-metricity vector. As a result, the gravitational sector is enriched by a dynamical vector field, which contributes to the field equations and modifies the curvature terms. This model also introduces an additional force term, due to non-minimally coupling, that can mimic both dark matter and dark energy effects, while it still preserves Wey's original motivation to unify gravity and electromagnetism.
We explore the cosmological implications of this model through modified Friedmann equations and analyze its perturbative structure. In the minimally coupled limit, we derive the cosmological perturbation equations, focusing on scalar modes where the non-metricity vector introduces extra degrees of freedom. Their evolution and stability properties are analyzed, along with potential signatures in structure formation and cosmological observables. The formalism can be naturally extended to vector and tensor modes, where further deviations from General Relativity may emerge.