  The general relativistic dynamics of a wide class of self-interacting,
self-gravitating homogeneous scalar fields models is analyzed. The class is
characterized by certain general conditions on the scalar field potential,
which include both asymptotically polynomial and exponential behaviors. Within
this class, we show that the generic evolution is always divergent in a finite
time, and then make use of this result to construct cosmological models as well
as radiating collapsing star models of the Vaidya type. It turns out that
blackholes are generically formed in such models.
