Bianchi type-I cosmological dynamics in f(Q) gravity: a covariant approach

Making use of the $1 + 3$ covariant formalism, we show explicitly effect that nonmetricity has on dynamics universe. Then, using Dynamical System Approach, analyze evolution Bianchi type-I cosmologies within framework $f(\mathcal{Q})$ gravity. We consider several models function $f(\mathcal{Q})$, each them manifesting isotropic eras universe, whether transitional or not. In one case, in addition to qualitative analysis provided by dynamical system method, also obtain analytical solutions terms average length scale $l$.