Modelling of Accretion Disk Around the Rotating Black Holes: High Mass X-ray Binaries

In this paper, we present the formation mechanisms of the accretion disk, shock cones and waves on the disk around the rotating black holes in the high mass x-ray binaries (hmxbs) solving the general relativistic hydrodynamic equation using the high resolution shock capturing scheme. we show how the disk and shock cones change depending on the initial conditions, mach number, adiabatic index and the disk radius. different physical conditions create different disk structures and these structures cause the varying physical mechanisms around the black holes. the shock cones around the black holes trap the oscillation modes. these trapped oscillation modes cause the quasi-periodic oscillation on the accretion disk. the different formations of disk help us to understand the properties of the black holes and mechanisms in the high mass x-ray binaries.