non-vacuum static cylindrically symmetric solution and energy distribution in f (r) gravity

in this paper, we investigate static cylindrically symmetric solution in metric f (r) gravity by taking matter in the form of dust. the assumption of constant ricci scalar curvature is taken to find the solution. the energy distribution of this solution is explored by applying landau-lifshitz energy-momentum complex. in addition, we explore the stability as well as constant scalar curvature conditions for some viable f (r) models along with their energy distribution. it is interesting to mention here that these models satisfy the above mentioned conditions.