  We obtain from the first principles a general-relativistic Keplerian rotation
law for self-gravitating disks around spinning black holes. This is an
extension of a former rotation law that was designed mainly for toroids around
spin-less black holes. We integrate numerically axial stationary Einstein
equations with self-gravitating disks around spinless or spinning black holes;
that includes the first ever integration of the Keplerian selfgravitating tori.
This construction can be used for the description of tight black hole-torus
systems produced during coalescences of two neutron stars or modelling of
compact active galactic nuclei.
