论文标题
$ f(\ Mathcal {q})$ f type-i宇宙学动力学
Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
论文作者
论文摘要
利用$ 1 + 3 $协变形式主义,我们明确地表明了非公称对宇宙动力学的影响。然后,使用动态系统方法,我们分析了$ f(\ Mathcal {q})$ GRAVITY框架内Bianchi I型宇宙学的演变。我们考虑了几种函数$ f(\ Mathcal {q})$的模型,它们都表现出宇宙的各向同性时代,无论是否过渡。在一个情况下,除了动态系统方法提供的定性分析外,我们还根据平均长度尺度$ l $获得分析解决方案。
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 $l$.