Modified Polytropic Models for Charged Anisotropic Compact Objects

Abstract

In this thesis, we present new solutions for charged anisotropic matter distributions by modifying the generalized polytropic equation of state. Using the Einstein-Maxwell equations in static and spherically symmetric spacetimes, we obtain solutions with non singular metric potentials, densities, and pressures. These exact solutions for different variations of the adjustable parameters satisfy all physically admissible conditions. The Tolman-Oppenheimer-Volkoff equation, the relativistic adiabatic index, and Abreu’s criterion are used to verify stability. The anisotropy factor starts at zero at the center and increases outward. Additionally, we study the behaviour of redshifts, compaction factors, and mass, all of which are found to be in acceptable ranges.