Imprints of electromagnetic field and modified f(R,T) theory on non-singular solutions under a specific pulsar structure

This study constructs two novel, non-singular interior models within the context of [Formula: see text] theory, which characterize anisotropic spherical configurations under the influence of an electromagnetic field. The analysis is started by formulating the modified Einstein–Maxwell equations analogous to a static interior spacetime. Subsequently, the gravitational equations are solved using two distinct formulations of the radial geometric component and specific forms of the anisotropic pressure, facilitating a more tractable solution. Differential equations are encountered in both scenarios whose solutions involve integration constants. These constants are then calculated by matching the metric functions of the interior and exterior Reissner–Nordström metrics at the spherical junction. Additionally, the condition of vanishing principal pressure in the radial direction is also applied at the interface. Afterwards, specific criteria is examined that, when met, yield compact models admitting physical validity. By utilizing the estimated data from the pulsar 4U 1820-30 structure, along with various parametric values, the proposed solutions are visually assessed. Based on chosen charge and model parameters, the current findings confirm that both resulting solutions are consistent with the physical acceptability conditions within the considered theoretical framework.