  The analytical structure of the difference between the static vacuum solution
in the nonsymmetric gravitational theory (NGT) and the Schwarzschild solution
of Einstein's gravitational theory (EGT) is studied. It is proved that a smooth
matching of the solutions does not exist in the range $0 < r \leq 2M$, for any
non-zero values of the parameters $M$ and $s$ of the NGT solution. This means
that one cannot consider the difference between the two solutions using
perturbation theory in this range of $r$. Assuming that the exterior solution
in gravitational collapse is a small, time dependent perturbation of the static
solution for a non-zero, generic NGT source ($s\not=0$) and mass density, it is
shown that the matching of the interior and exterior solutions will not lead to
black hole event horizons.
