  We develop here a procedure to obtain regular static configurations as
resulting from dynamical gravitational collapse of a massive matter cloud in
general relativity. Under certain general physical assumptions for the
collapsing cloud, we find the class of dynamical models that lead to an
equilib- rium configuration. To illustrate this, we provide a class of perfect
fluid collapse models that lead to a static constant density object as limit.
We suggest that similar models might possibly constitute the basis for the
description of formation of compact objects in nature.
