Abstract
The primary objective of this paper is to examine singularity-free solutions within the framework of anisotropic solutions for the Chaplygin equation of state in [Formula: see text] modified gravity theory. Herein, [Formula: see text] signifies the Ricci scalar, [Formula: see text] denotes the scalar field, and [Formula: see text] represents the kinetic term associated with [Formula: see text]. The investigation employs the Krori–Barua metric to explore the characteristics of an anisotropic compact star. In the course of our analysis, we specifically consider observational data about three distinct stellar structures: Her X-I, LMC X-4, and 4U 1538-52. Our inquiry extends to the graphical examination of various physical parameters, encompassing energy density, pressure components, anisotropic components, equation of state parameters, equilibrium conditions, stability analysis, adiabatic index, and energy conditions. Furthermore, we delve into the intricacies of the mass-radius function, compactness factor, and surface redshift–integral features of charged compact stars. The culmination of our findings suggests that the [Formula: see text] theory of gravity when subjected to observational scrutiny, manifests as realistic, stable, and devoid of singularities.
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