Modeling of charged anisotropic compact star with Tolman-IV ansatz

This research focuses on formulating a physical model for spherically symmetric system incorporating electromagnetic fields within the framework of [Formula: see text] gravity. To accomplish this, we investigate [Formula: see text] gravity’s field equations in the setting of anisotropic matter and solve these equations by choosing viable solution, i.e. Tolman-IV model. Matching conditions help us calculate the constants in terms of physical parameters. For this, we choose exterior geometry as Reissner–Nordström corresponding to charged anisotropic matter in the interior of spherically symmetric metric. To ensure that the obtained solution is physical viable and well-behaved, we rigorously examine the accessibility conditions (casualty conditions, TOV equations, adiabatic index, Harrison–Zeldovich–Novikov criterion and energy conditions) through graphically with software like Mathematica. Next, we implement this model to investigate various well-known compact objects, including LMC X-4 having mass [Formula: see text] and a radius of [Formula: see text] kilometers.