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.
