Conformal vector fields for some vacuum classes of pp-waves space-times in ghost free infinite derivative gravity

Abstract

The aim of this paper is to find conformal vector fields (CVFs) for some vacuum classes of the pp-waves space-times in the ghost free infinite derivative gravity (IDG). In order to find the CVFs of the above-mentioned space-times in the IDG, first, we deduce various classes of solutions by employing a classification procedure that in turn leads towards 10 cases. By reviewing each case thoroughly by direct integration technique, we find that there exists only one case for which the space-time admits proper CVFs whereas in rest of the cases, the space-time either becomes flat or it admits homothetic vector fields (HVFs) or Killing vector fields (KVFs). The overall dimension of CVFs for the pp-waves space-times in the IDG has turned out to be one, two, seven or fifteen.

Approximate Mei symmetries of pp-wave spacetimes

“…Following an in-depth study of every case, it appears that proper conformal vector fields exist in two cases, while conformal vector fields become homothetic vector fields in the remaining eight cases. Furthermore in [21], they studied CVFs for some vacuum classes of the pp-waves spacetimes in the ghost free infinite derivative gravity (IDG). For finding the CVFs in the IDG, the authors first determined distinct classes of solutions using a classification procedure, which leads to 10 cases.…”

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.…”