The aim of this paper is to classify locally rotationally symmetric (LRS) Bianchi type I space-times via conformal vector fields (CVFs) in the f(T,B) gravity. In a first step, we find the space-times that are solutions of some f(T,B) gravity model. Furthermore, we classify the resulting space-times via CVFs. During the classification, there arise eight cases. Reviewing each case thoroughly, we find that in two cases, the space-times confess proper CVFs. The space-times in rest of the six cases either become conformally flat or tends to admit homothetic vector fields (HVFs) or the Killing vector fields (KVFs).

中文翻译：

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关于通过 f(T,B) 重力中的共形矢量场对局部旋转对称 Bianchi I 型时空进行分类的注释

本文的目的是通过共形向量场 (CVF) 对局部旋转对称 (LRS) Bianchi I 型时空进行分类F(吨,乙)重力。第一步，我们找到一些解的时空F(吨,乙)重力模型。此外，我们通过 CVF 对产生的时空进行分类。在分类过程中，出现了八种情况。彻底审查每个案例，我们发现在两个案例中，时空承认了正确的 CVF。其余六种情况下的时空要么变得共形平坦，要么趋向于接受相似向量场 (HVF) 或 Killing 向量场 (KVF)。