  We report a family of self-similar exact solutions in General Relativity. The
solutions are found in a Painleve-Gullstrand coordinate system but can also be
transformed smoothly into a diagonal form. The solutions represent a
gravitational collapse leading to three possible outcomes, depending on the
parameter space : (i) a collapse followed by a bounce and dispersal of the
clustered matter distribution, (ii) a rapid collapse followed by a bounce and
an eventual re-collapse, and (iii) a standard collapse leading to zero proper
volume. Profiles of the energy conditions are studied for all of the scenarios,
and it is noted that a bounce is usually associated with a violation of the
Null Energy Condition. It is found that more than one null surfaces (apparent
horizons) can develop during the collapse. We also discuss that for a general
metric tensor having a conformal symmetry, some regions of the parameter space
allows a formation of null throat, much like a wormhole. Matching the metric
with a Schwarzschild metric in Painleve-Gullstrand form leads to the geodesic
equation for a zero energy falling particle in the exterior.
