  We analyze here late evolutionary stages of massive (with initial mass higher
than 8 masses of the Sun) close binary stars. Our purposes are to study
possible mechanisms of gamma ray bursts (GRBs) origin. We suppose in this paper
that GRB phenomenon require formation of massive (approx. 1 M_sun) compact
(approx. 10 km) accretion disks around Kerr black holes and neutron stars. Such
Kerr black holes are products of collapse of Wolf-Rayet stars in extremely
close binaries and merging of neutron stars with black holes and neutron stars
with neutron stars in close binary systems. Required accretion disks also can
be formed around neutron stars which were formed during collapse of accreting
oxygen-neon white dwarfs. We have estimated frequencies of events which lead to
a rotational collapse concerned with formation of rapidly rotating relativistic
objects in the Galaxy. We made our calculations using the "Scenario Machine".
