Study of Cracking and Complexity in the context of Gravitational Decoupling using Durgapal-Fuloria Mode

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.