A generalized polytropic equation of state stellar model with anisotropic charged fluid

In this article, assuming the generalized polytropic equation of state and suitable form of electric field intensity, new classes of anisotropic charged fluid solutions to the Einstein-Maxwell equations in paraboloidal geometry are obtained, representing relativistic charged compact stellar objects. These exact polytropic solutions for different variations of the adjustable parameter, known as the polytropic index $\eta$ $\eta $ ( $\eta$ $\eta $ = 1/2, 1, 2), satisfy all physically admissible conditions. Furthermore, a comprehensive graphical analysis of neutron star PSR J $0740+6620$ $0740+6620$ is provided. The matter composition obeys stability conditions; the hydrostatic equilibrium by means of the Tolman–Oppenheimer–Volkoff equation, viable trends of stability through Harrison–Zeldovich–Novikov criterion, the relativistic adiabatic index and Abreu’s criterion.