Exact Solutions of the Einstein Maxwell Field Equations in Paraboloidal Geometry

Abstract

In this thesis, assuming the generalized polytropic equation of state and suitable form of electric eld intensity, new classes of charged anisotropic perfect uid solutions to the Einstein-Maxwell equations in paraboloidal geometry are obtained, representing relativistic charged compact stellar objects. These exact polytropic solutions for di erent variations of the adjustable parameter, known as the polytropic index ( = 1=2; 1; 2), satisfy all physically admissible conditions. The matter composition obeys all stability conditions; including the hydrostatic equilibrium by means of the Tolman Oppenheimer Volko equation, viable trends of stability through the relativistic adiabatic index and Abreu's criterion are ful lled. The pro les are displayed by assuming the estimated radius, the geometric parameter L, and other constants for which compact stars obeying the mass-radius ratio are obtained.