Exploring conformal vector fields of Bianchi type-I perfect fluid solutions in f(T) gravity

Abstract

In this paper, first, we deduce various classes of Bianchi type-I perfect fluid solutions in the [Formula: see text] gravity. In order to obtain the above-mentioned classes, we use some algebraic techniques that help to formulate 18 cases. As an application, we bifurcate the obtained classes according to their conformal vector fields (CVFs). Inspecting each class using the process of direct integration, we come to know that in one case, the space-time admits proper CVFs whereas in rest of the cases, obtained metrics either become conformally flat or admit underlying symmetries of the CVFs i.e. homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the Bianchi type-I perfect fluid space-times in [Formula: see text] gravity turns out to be three, four, five, six and fifteen.