Dynamical variables and evolution of the universe

One of the striking feature of inhomogeneous matter distribution under the effects of fourth-order gravity and electromagnetic field have been discussed in this manuscript. We have considered a compact spherical celestial star undergoing expansion due to the presence of higher curvature invariants of f(R) gravity and imperfect fluid. We have explored the dynamical equations and field equations in f(R) gravity. An explicit expression have been found for Weyl tensor and material variables under the dark dynamical effects. Using a viable f(R) model, some dynamical variables have been explored from splitting the Riemann curvature tensor. These dark dynamical variables are also studied for charged dust cloud with and without the constraint of constant Ricci scalar.