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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… Click to show full 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).
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2021
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