  We embed the Schwarzschild interior solution in a five-dimensional flat space
and show that the systems of the interior and the exterior solution are based
on the same geometrical principles. It turns out that the energy tensor of the
matter has its origin in the five-dimensional structure of the geometry and is
built up by the generalized second fundamental forms. Thus, the matter is
already geometrized. The Codazzi equations are the field equations for the
matter field.
