A note on classification of dust static plane symmetric space-times via proper curvature collineations in f(R) gravity

Abstract

In this paper, we classify dust static plane symmetric (SPS) space-times via proper curvature collineations (CCs) in the [Formula: see text] gravity using the rank of [Formula: see text] Riemann matrix and direct integration technique. Classifying the above mentioned space-times, we find that there arise six cases corresponding to specific values of the function [Formula: see text]. Inspecting all the cases, we reach at the fact that there exist two cases where the space-times admit proper CCs which form an infinite dimensional vector space (IDVS). In rest of the four cases, the space-time becomes either flat or CCs become the killing vector fields (KVFs).