Some Static Fluid Spheres in General Relativity

Here in this paper we have presented a new solution of the Einstein’s field equations for the interior metric of a fluid sphere taking cosmological constant in the solution. We have assumed that the metric coefficient b =  r2 where – b = g44’ so that the effective mass density varies with radial co-ordinate. We have also considered the case when cosmological term  is zero and b = Ar2 + B.