Dynamical analysis of $f(Q)$-cosmology

Abstract

We study the evolution of the physical variables in $f\left( Q\right) $-gravity for two families of symmetric and flat connections in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry where the equation of motion for the nonmetricity scalar is not trivially identity. From the analysis of dynamics we found that the de Sitter universe is always an attractor while the cosmological models admit scaling solutions which can describe the early acceleration phase of our universe or the matter and the radiation epochs.