Core-envelope models of superdense star with anisotropic envelope

A core-envelope model for superdense matter distribution with the feature - core consisting of isotropic fluid distribution and envelope with anisotropic fluid distribution is studied on the background of pseudo-spheroidal spacetime. In the case of superdense stars core-envelope models, with isotropic pressure in the core and anisotropic pressure in the envelope, may not be unphysical. Physical plausibility of the models have been examined analytically and using numerical methods.