[en] We study the gravitational collapse of a dust dark matter, in a Λ background. We consider two distinct cases: First we do not have a dark matter and dark energy coupling; second, we consider that Λ decay in dark particles. The approach adopted assumes a modified matter expansion rate and we have formation of a black hole, since that, we have the formation of an apparent horizon. Finally, a brief comparison of the process of matter condensation using the gravitational collapse approach and the linear scalar perturbation theory is considered. (author)