Abstract This work utilizes the extended geometric deformation approach within the Einstein’s theory of gravity to generate two novel anisotropic charged solutions by extending known seed models. The anisotropic fluid distribution is initially introduced in a static, spherically symmetric seed structure in order to achieve this goal. The gravitational coupling of the additional matter source to the original fluid distribution is further performed through the addition of a Lagrangian density. The temporal and radial metric transformations are applied to the field equations for the entire matter configuration, producing two sets of decoupled equations. Different constraints are used to solve these systems independently, producing new classes of solutions. Additionally, the internal and exterior geometries at the boundary are matched to find the integration constants in the proposed solutions. Afterwards, the predicted radius and mass of a star candidate, Vela~X-1 V e l a X - 1, are used to graphically examine the suggested models. In conclusion, our charged relativistic models fit the acceptability requirements for the physical existence quite well for specific values of the decoupling parameter.
Naseer et al. (Mon,) studied this question.