  We propose an alternative description of the Schwarzschild black hole based
on the requirement that the solution be static not only outside the horizon but
also inside it. As a consequence of this assumption, we are led to a change of
signature implying a complex transformation of an angle variable. There is a
"phase transition" on the surface R=2m, producing a change in the symmetry as
we cross this surface. Some consequences of this situation on the motion of
test particles are investigated.
