  In the presence of a rotating Kerr black hole, we investigate hydrodynamics
of the massive particles and massless photons, to construct relations among
number density, pressure and internal energy density of the massive particles
and photons around the rotating Kerr black hole and to study an accretion onto
the black hole. On equatorial plane of the Kerr black hole, we investigate the
bound orbits of the massive particles and photons around the black hole to
produce their radial, azimuthal and precession frequencies. With these
frequencies we study the black holes GRO~J1655-40 and 4U~1543-47, to explicitly
obtain the radial, azimuthal and precession frequencies of the massive
particles in the flow of perfect fluid. We next consider the massive particles
in the stable circular orbit of radius of $1.0~ly$ around the supernovas SN
1979C, SN 1987A and SN 2213-1745 in the Kerr curved spacetime, and around the
potential supermassive Schwarzschild black holes M87, NGC 3115, NGC 4594, NGC
3377, NGC 4258, M31, M32 and Galatic center, to estimate their radial and
azimuthal frequencies, which are shown to be the same results as those in no
precession motion. The photon unstable orbit is also discussed in terms of the
impact parameter of the photon trajectory. Finally, on the equatorial plane of
the Kerr black hole, we construct the global flat embedding structures
possessing (9+3) dimensionalities outside and inside the event horizon of the
rotating Kerr black hole. Moreover, on the plane we investigate the warp
products of the Kerr spacetime.
