A note on classification of locally rotationally symmetric Bianchi type I space–times via conformal vector fields in f(T,B) gravity

Abstract

The aim of this paper is to classify locally rotationally symmetric (LRS) Bianchi type I space-times via conformal vector fields (CVFs) in the [Formula: see text] gravity. In a first step, we find the space-times that are solutions of some [Formula: see text] 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).