Primordial Black Hole Clusters and their Evolution
  A possibility of pregalactic seeds of the Active Galactic Nuclei can be a
nontrivial cosmological consequence of particle theory. Such seeds can appear
as Primordial Black Hole (PBH) clusters, formed in the succession of phase
transitions with spontaneous and then manifest breaking of the global U(1)
symmetry. If the first phase transition takes place at the inflationary stage,
a set of massive closed walls may be formed at the second phase transition and
the collapse of these closed walls can result in formation of PBH clusters. We
present the results of our studies of the evolution of such PBH Clusters.
