Shear tensor and dynamics of relativistic accretion disks around
  rotating black holes
  In this paper we solve the hydrodynamical equations of optically thin, steady
state accretion disks around Kerr black holes. Here, fully general relativistic
equations are used. We use a new method to calculate the shear tensor in the
LNRF (Locally Non-Rotating Frame), BLF (Boyer-Lindquist Frame) and FRF (Fluid
Rest Frame). We show that two components of shear tensor in the FRF are nonzero
(in previous works only one nonzero component was assumed). We can use these
tensors in usual transonic solutions and usual causal viscosity, but we derive
solutions analytically by some simplifications. Then we can calculate the four
velocity and density in all frames such as the LNRF, BLF and FRF.
