Bardeen compact stars in modified f(R) gravity with conformal motion

Abstract

The main emphasis of this paper is to find the viable solutions of Einstein Maxwell field equations of compact star in context of modified [Formula: see text] theory of gravity. Two different models of modified [Formula: see text] gravity are considered. In particular, we choose isotropic matter distribution and Bardeen’s model for compact star to find the boundary conditions as an exterior space-time geometry. We use the conformal Killing geometry to compute the metric potentials. We discuss the behavior of energy density and pressure distribution for both models. Moreover, we analyze different physical properties such as behavior of energy density and pressure, equilibrium conditions, equation of state parameters, causality conditions and adiabatic index. It is noticed that both [Formula: see text] gravity models are suitable and provide viable results with Bardeen geometry.