General relativistic hydrodynamic flows around astatic compact object in final stages of accretion flow

Dynamics of stationary axisymmetric configuration of the viscous accreting fluids surrounding a non-rotating compact object in finalstages of accretion flow is presented here. for the special case of thin disk approximation, the relativistic fluid equations ignoring selfgravityof the disk are derived in schwarzschild geometry. for two different state equations, two sets of self-consistent analyticalsolutions of fully relativistic fluid equations are obtained separately. the effect of bulk viscosity coefficient on the physical functions areinvestigated for each state equation, as well as the bounds that exert on the free parameters due to the condition of accretion flow in thelast stages. the solutions found show that the radial and azimuthal velocities, density and pressure of the fluid increase inwards for bothstate equations. also, viscosity has no effect on the velocities and density distributions in both state equations. two state equations showdifferent types of behavior with respect to the bulk viscosity coefficient. for p=k state equation, if there is no bulk viscosity, thepressure remains constant throughout the disk, whereas with increasing bulk viscosity the pressure falls off in the inner regions but soonstabilizes at an almost constant value. however, for p =p c2 state equation, the pressure is never constant, even in the absence of bulkviscosity. the larger the value of 17b ' the higher the value ofpressure in the inner regions.