Cracking of some polytropic models via local density perturbations

In this paper, we have checked the stability of some anisotropic charged generalized polytropic models by using the concept of cracking, founded by Nasim and Azam (Astrophys. Space Sci. 363, 132 (2018). doi: 10.1007/s10509-018-3356-4 ). The process of cracking is intuitive and shows the points where the dissipation of radial forces appear in the system on account of perturbation and carries the system out of its equilibrium state. We have employed the local density perturbation technique to the hydrostatic equilibrium equation and on all the physical parameters engaged in the models. We concluded that under the local density perturbation scheme all the generalized polytropic models are potentially stable.