A core-envelope massive distribution with a parabolic density distribution in the core

Tohnan's V solution has found wide application to the redshift problem in astrophysics but it has a drawback in that there is singularity at the centre. We have developed a core-envelope model with a parabolic density distribution in the core ande^v r²ⁿ in the envelope. The most distinctive feature of the model is that there is a continuity of all the four variables (E, P, andv) at the boundary. In other analytic coreenvelope models the continuity of only three variables is possible. This two-density structure has been used to model neutron stars and their mass, size and red shifts have been obtained.