Abstract
The goal of this work was to investigate the behavior of charge compact stars in the context of f (g) theory of gravity, which is one of the most powerful candidates responsible for the accelerated expansion of the universe. The salient feature of the current research is the consideration of Bardeen's model, which describes an exterior space-time and interprets the magnetic monopole arising from gravity collapse caused by some specific conditions of nonlinear electrodynamics. Moreover, we ana-lyzed the structure of the star by using the solution provided by a Finch-Skea-type metric potential. All the physically necessary parameters and characteristics of relativistic spheres are displayed graphically. We further studied the energy density, pressure curves, equation-of-state parameters, anisotropy factor, energy conditions, Tolman-Oppenheimer-Volkoff equation, redshift functions, compactness parameters, adiabatic index, and stability analysis in detail.