Causal viscosity in global dynamics of advection-dominated accretion flows around black holes

We modify the viscosity to disappear inside the sonic point in the advection-dominated accretion hows (ADAF's) around black holes, and obtain the causally connected, physically self-consistent ADAF-thin disk solutions. Such global solutions differ from previous ones in quantitative details. The results show that the range of variation for the value of the outer boundary R-out is very large, from 30R(g) to 10(6)R(g). There is a narrow region for which the rotating motion of the how is super-Keplerian in each global solution. An example global solution with the causal viscosity is given explicitly, for which R-s = 2.28R(g) and j = 1,7564(cR(g)).