  Pandres has shown that an enlargement of the covariance group to the group of
conservative transformations leads to a richer geometry than that of general
relativity. Using orthonormal tetrads as field variables, the fundamental
geometric object is the curvature vector denoted by $C_\mu$. From an
appropriate scalar Lagrangian field equations for both free-field and the field
with sources have been developed. We first review models which use a free-field
solution to model the Solar System and why these results are unacceptable. We
also show that the standard Schwarzschild metric is also unacceptable in our
theory. Finally we show that there are solutions which involve sources which
agree with general relativity PPN parameters and thus approximate the
Schwarzschild solution. The main difference is that the Einstein tensor is not
identically zero but includes small values for the density, radial pressure and
tangential pressure. Higher precision experiments should be able to determine
the validity of these models. These results add further confirmation that the
theory developed by Pandres is the fundamental theory of physics.
