Role of stellar anisotropy and non-minimally coupled f(R) gravity theory in the construction of charged compact objects

This study introduces two new charged anisotropic interior configurations within the fluid-geometry associated f ( R ) gravity model. Our analysis begins with the modified Einstein-Maxwell field equations, which describe a static and charged interior spacetime structure. To solve these equations, two separate forms are used for the radial function and anisotropic pressure, satisfying established acceptability conditions. In both cases, differential equations arise, and integration constants appear in their solutions. These constants are determined by maintaining continuity between both the inner and outer Reissner-Nordström geometries at the border. Additionally, we assume the interface has a zero radial pressure. This study graphically explores both models employing observational data from the star LMC X-4. For certain parameter values, both solutions meet physical acceptance conditions in this non-conservative theoretical scenario, indicating its significance in constructing anisotropic fluid structures.