Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity

TL;DR

This paper investigates the weak field limit of a nonminimally coupled Weyl connection gravity model, exploring its potential implications for astrophysics and cosmology, and highlighting its second-order field equations and well-behaved space-form.

Contribution

It provides the first detailed analysis of the weak regime of nonminimally coupled Weyl connection gravity, emphasizing its second-order equations and cosmological relevance.

Findings

Second-order metric field equations derived

Well-behaved space-form solutions identified

Implications for astrophysics and cosmology discussed

Abstract

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity properties of spacetime, and is dubbed as nonminimally coupled Weyl connection gravity. It has the advantage of leading to metric field equations of second order together with a constraint equation for the Weyl vector, and has well behaved space-form. We analyse this model by exploring its weak regime and its implications for astrophysics and cosmology.