Abstract:
This thesis presents a study on the process of istropization and properties of stellar mod-
els with different complexity factors, which was introduced by Herrera and the stability
in some anisotropic matter configurations, through the idea of cracking, which is an alter-
native and special method to detect instabilities. Besides thinking about anisotropy as a
quantity playing a significant role in the occurrence of cracking, we also study the effect
of the complexity factor. We adopt gravitational decoupling (GD) by minimum geometric
(MGD) technique and develop an anisotropic model of durgapal-fuloria isotropic solution.
We construct stellar models based on the complexity factor that allows to close the system
of differential equations obtained from GD. We use the complexity factor obtained from
durgapal-fuloria solution. We apply the general parametric perturbation scheme on radial
force. The impact of the variation of the decoupling parameter on the behavior of the radial
force is examined in detail.
