Existence of conformal vector fields of Bianchi type I space-times in f(R) gravity

Abstract

In this paper, Bianchi type I space-times in the [Formula: see text] theory of gravity are classified via conformal vector fields using algebraic and direct integration techniques. In this classification, we show that the conformal vector fields are of dimension four, five, six or fifteen. Additionally, we found that non-conformally flat Bianchi type I space-times admit conformal vector fields of dimension four, five or six. In the case of conformally flat or flat space-times, the dimension of the conformal vector fields is fifteen.

Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity

“…The CS also gives a deep insight into the space-time geometry that further helps to describe the associated kinematics as well as dynamics. With these properties, special attention has been given to the study of the CVFs in MTs of gravitation in the last few years [72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88]. Continuing this stream of work, we are conducting a study to classify the static SS perfect fluid space-times via CVFs in the f (T) theory of gravity.…”