  The density profiles and other quantities of physical interest for
spherically symmetric systems are computed by assuming that a collisionless
stellar gas may relax to the non-Gaussian power law distribution suggested by
the nonextensive kinetic theory. There are two different classes of solutions.
The first class behaves like a subset of the polytropic Lane-Emden spheres,
whereas the second one corresponds to a transition between two different
polytropic indices. Unlike the isothermal Maxwellian sphere, the total mass and
sizes of both classes are finite for a large range of the nonextensive
q-parameter.
