  We consider a toy model for relativistic collapse of an homogeneous perfect
fluid that takes into account an equation of state for high density matter, in
the form of an Hagedorn phase, and semiclassical corrections in the strong
field. We show that collapse reaches a critical minimum size and then bounces.
We discuss the conditions for collapse to halt and form a compact object. We
argue that implications of models such as the one presented here are of great
importance for astrophysics as they show that black holes may not be the only
final outcome of collapse of very massive stars.
