In the figure the border of the hole is abrupt. A more detailed image can be found in reference [22]. See figure 5.
It looks fairly difficult to deal with such a 3d problem, with today's systems. It would require a huge number of interacting mass-points.
Let us consider the case of a non-realistic galaxy, confined by a ring. In order to build usefull initial conditions we will first bring some theoretical machinnery.