An analytical stellar model

A new analytical solution has been obtained for stellar models by solving Einstein's field equations for the spherically symmetric and static case. The density variation is found to be smooth and positive under all conditions. It is shown that if the variable r is changed to x = Cr2, where C is a constant, the field equations are reduced to a form which is easier to solve. Two specific cases, namely P ≤ 1/3ρ and dP/dρ ≤ 1, are considered. The solution will find application in the case of a neutron star. For (dP/dρ)≤ 1, the maximum mass of a neutron star model is found to be 4.15M solar mass and the surface red shift is found to be 0.845. (author)