Five Dimensional Cylindrically Symmetric Solutions and Energy Distribution in f(R) Gravity

Abstract

This paper is devoted to study of five dimensional cylindrically symmetric solutions in f(R) theory of gravity using perfect fluid as matter and discussed energy distribution of these solutions by applying Landau-Lifshitz energy momentum complex. To find the solution, the assumption of constant scalar curvature is used. Also stability and constant scalar curvature condition is explored for viable f(R) models. These models satisfy above mentioned conditions.