Expanding Dust Ball

In this paper we consider dynamics of a self - graviting matter in flat space - time starting from our gravitation equations published early. It is shown that only "asymptotical" singularity in the infinitely remote past occurs in the model. In connection with evidences that the deceleration parameter $q_{0}$ in cosmology is negative it is shown that a supermassive dust ball expands with acceleration from zero up to some radius that depends on the model parameters .