Five-dimensional Dust Static Spherically Symmetric Non-vacuum Solution in f(R) Theory of Gravity

Abstract

In this paper, we have investigated five-dimensional static spherically symmetric non-vacuum solution of the field equation in metric gravity using dust matter and constant Ricci scalar curvature on the lines of Sharif and Kausar (2011). The density of dust matter and the function of the Ricci scalar curvature will also be evaluated at constant scalar curvature. It has been observed that the work of Sharif and Kausar (2011) regarding the four dimensional static spherically symmetric non-vacuum solution can be obtained by reducing the dimension.