f(Q) gravitational theory and its structure via redshift

Abstract

We introduce a new technique for reformulating the f(Q) gravitational theory based on parameterization of the deceleration parameter or other options. This tool allows us to create modified gravitational scenarios connected to cosmological observations. We examine two models of the deceleration parameter and one model of the effective equation of the state of the universe as discussed in the literature. We utilize the asymptotic behavior of the matter density parameter to further constrain the feasible range of the model parameters. One of the tested models shows how a tiny modification can produce viable cosmic scenarios quantitatively similar to \(\Lambda \)CDM but qualitatively different, whereas the dark energy (DE) sector becomes dynamic and fully explained by modified gravity, not by a cosmological constant.