Abstract:
Finding new exact or analytic solutions of the Einstein eld equations is of great interest
among researchers. In this thesis we have developed new classes of exact solutions of the
Einstein-Maxwell eld equations depicting interior of spherically symmetric compact
objects. The solutions have been obtained for charged anisotropic uid by assuming
linear and quadratic equations of state. Solutions have been developed on background
spacetime exhibiting paraboloidal geometry. Our solutions are well behaved and satisfy
all physical conditions of a feasible star. Causality condition, energy conditions and
region of stability are also discussed.
