Electromagnetic field and dark dynamical scalars for spherical systems

Abstract

This paper studies the effects of inhomogeneous fluid configurations on the evolution of relativistic spheres within the context of electromagnetic field and fourth order gravity. We assume a compact distribution of spherical structure that evolves due to the curvature influences coming from f (R) gravity model and non-ideal matter source. After calculating the corresponding f (R) equations of motion, an explicit formulation among Weyl scalar, dark dynamical scalars and material variables is developed. With f (R) curvature and charged fluid terms, all the non-zero dynamical variables are presented from the orthogonal decomposition the Riemann curvature tensor. The Raychaudhuri, Weyl scalar and shearing equations are formulated through modified scalar functions with and without varying Ricci scalar for perfect and imperfect spherical systems.