Tori sequences as remnants of multiple accreting periods of Kerr SMBHs
  Super-massive black holes (SMBHs) hosted in active galactic nuclei (AGNs) can
be characterized by multi-accreting periods as the attractors interact with the
environment during their life-time. These multi-accretion episodes should leave
traces in the matter orbiting the attractor. Counterrotating and even
misaligned structures orbiting around the SMBHs would be consequences of these
episodes. Our task in this work is to consider situations where such accretions
occur and to trace their remnants represented by several toroidal accreting
fluids, corotating or counterrotating relative to the central Kerr attractor,
and created in various regimes during the evolution of matter configurations
around SMBHs. We focus particularly on the emergence of matter instabilities,
i.e., tori collisions, accretion onto the central Kerr black hole, or creation
of jet-like structures (proto-jets). Each orbiting configuration is governed by
the general relativistic hydrodynamic Boyer condition of equilibrium
configurations of rotating perfect fluid. We prove that sequences of
configurations and hot points, where an instability occurs, characterize the
Kerr SMBHs, depending mainly on their spin-mass ratios. The occurrence of tori
accretion or collision are strongly constrained by the fluid rotation with
respect to the central black hole and the relative rotation with respect to
each other. Our investigation provides characteristic of attractors where
traces of multi-accreting episodes can be found and observed.
