1209.4563 (Soon-Tae Hong)

Global embeddings and hydrodynamic properties of Kerr black hole    [PDF]

Soon-Tae Hong

The global embedding Minkowski space structures are investigated to yield (2+4) and (3+4) dimensionalities outside and inside the event horizon of the Kerr black hole on the equatorial plane, respectively. The accretion onto the Kerr black hole is also studied to yield the general relativistic equation for the steady state axisymmetric massive particles and massless photons. The bound orbits of the massive particles and photons around the Kerr black hole are also investigated to calculate the harmonic motion frequency in the radial direction and angular frequency in the azimuthal one of the massive particles, and the impact parameter of the photons, respectively. The hydrodynamic aspects of the rotating Kerr black hole are discussed to yield the relations among the number density, pressure and internal energy density of the massive particles and photons on the rotating Kerr curved manifold.

View original: http://arxiv.org/abs/1209.4563