Exact Solutions of the Einstein-Maxwell Field Equations in Paraboloidal Geometry Using Chaplygin Equation of State

Abstract

This thesis investigates a charged anisotropic stellar model in paraboloidal geometry, using the Chaplygin equation of state. We develop a new solution to Einstein’s field equations that investigates the interaction of electromagnetic fields and, anisotropic pressures. This solution satisfies all physically admissible conditions. This model also fulfills all stability conditions, including hydrostatic equilibrium, the adiabatic index and, Abreu’s criterion. By assuming the values of parameters, we can develop detailed profiles of the compact stars in our model. These profiles show how density, pressure, and electric field vary throughout the star.