Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach

TL;DR

This paper investigates how nonmetricity influences Bianchi type-I cosmological dynamics in $f( ext{Q})$ gravity using covariant formalism and dynamical systems, revealing models with isotropic eras and analytical solutions.

Contribution

It provides a covariant analysis of nonmetricity effects on anisotropic cosmologies in $f( ext{Q})$ gravity and explores their evolution with analytical solutions.

Findings

Identification of isotropic eras in $f( ext{Q})$ models

Analytical solutions for certain $f( ext{Q})$ models

Demonstration of nonmetricity's impact on universe dynamics

Abstract

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