Anisotropic static solutions in modelling highly compact bodies

Einstein field equations for static anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. Two classes of solutions are possible. The first class contains the limiting case mu proportional to r(-2) for the energy density which arises in many astrophysical applications. In the second class the singularity at the centre of the star is not present in the energy density.