The radiation properties of an accretion disk with a non-zero torque on   its inner edge
  The structure of the inner edge of the accretion disk around a black hole can be altered, if the matter inside the marginally stable orbit is magnetically connected to the disk. In this case, a non-zero torque is exerted on its inner edge, and the accretion efficiency $\epsilon$ can be much higher than that in the standard accretion disk model. We explore the radiation properties of an accretion disk at its sonic point around a black hole with a time-steady torque exerted on the inner edge of the disk. The local structure of the accretion flow at the sonic point is investigated in the frame of general relativity. It is found that the accretion flow will be optically thin at its sonic point for most cases, if the additional accretion efficiency $\delta\epsilon$ caused by the torque is as high as $\sim$10 %. The results imply that the variable torque may trigger transitions of the flow between different accretion types. 
Xinwu Cao (1), Y.D. Xu (2) ((1) Shanghai Astronomical Observatory,   CAS, (2) Shanghai Jiaotong University)