Investigating Novel Solutions Representing Realistic Charged Anisotropic Stellar Objects through Minimal Geometric Deformation

This research formulates two new anisotropic solutions coupled with an electromagnetic field, developed by employing the minimal geometric deformation technique within the framework of Einstein’s gravitational theory. Our investigation begins with a static, spherical system containing the anisotropic fluid as the primary matter distribution. Subsequently, an additional source is incorporated which is gravitationally linked to the seed system. By computing the Einstein-Maxwell equations and applying a transformation to the radial component, we derive two independent sets of equations. These systems are solved separately under specific constraints, resulting in distinct and unique solutions. These solutions contain constants which are determined using the boundary conditions. We then validate our models by conducting a graphical analysis using the known masses and radii of two stars LMC X-4 and SAX J1808.4-3658. Our analysis demonstrates that both relativistic stellar models meet the physical criteria for specific decoupling parametric values.