标题： 关于 Bianchi I $f(T)$宇宙学中的 Kasner 解 显示英文标题

标题： On Kasner solution in Bianchi I $f(T)$ cosmology

摘要： 最近，$f(T)$引力中各向异性宇宙的宇宙学动力学成为激烈研究的领域。 一些早期关于这一问题的论文对这种理论中的真空解的性质和特征存在矛盾的声明。 本文的目标是澄清这种情况。 我们比较了$f(T)$和$f(R)$真空解的特性，并概述了它们之间的差异。 Kasner 解似乎是$T=0$分支的一个精确解，而为$T \ne 0$分支的一个渐近解。 结果显示，当$T<0$时 Kasner 解是过去吸引子，而对于$T>0$分支则是过去和未来吸引子。 显示英文摘要

摘要： Recently cosmological dynamics of anisotropic Universe in $f(T)$ gravity became an area of intense investigations. Some earlier papers devoted to this issue contain contradictory claims about the nature and propertied of vacuum solutions in this theory. The goal of the present paper is to clarify this situation. We compare properties of $f(T)$ and $f(R)$ vacuum solutions and outline differences between them. The Kasner solution appears to be an exact solution for the $T=0$ branch, and an asymptotic solution for $T \ne 0$ branch. It is shown that Kasner solution is the past attractor if $T<0$, being past and future attractor for $T>0$ branch.