Adler–Finch–Skea Charged Anisotropic Solution in f ( R ) Gravity and Scalar Potential

The objective of current study is to examine the physical characteristics of charge compact spheres employing anisotropic fluid under [Formula: see text] modified gravity approach, exploring how this theoretical context influences their attributes and behavior. To accomplish our goal, we adopt the Spherically Symmetric (SS) spacetime and, additionally, employ a specific Adler-based mode for the metric potential ([Formula: see text]), which yields a broader class of solutions, Then, by making use of Karmarkar condition, we successfully derive the other metric potential. A primary component of our current analysis is the utilization of the Bardeen geometry as extrinsic spacetime for determining the constant parameters of intrinsic spacetime. Further, to validate the existence of bardeen stellar spheres, we debate the behavior of physical properties and parameters such as components of pressure, energy density, anisotropy, parameters of EoS, stability and dynamical equilibrium, energy bounds, mass function, adiabatic index, compactness factor and surface red shift. Conclusively, all the obtained results shows that the system under consideration is physically stable, free from singularity and viable.