Efficiency of magnetized thin accretion disks in the Kerr metric

The efficiency of thin disk accretion onto black holes depends on the inner boundary condition, specifically the torque applied to the disk at the las t stable orbit. This is usually assumed to vanish. I estimate the torque on a magnetized disk using a steady magnetohydrodynamic inflow model original ly developed by Takahashi et al. I find that the efficiency epsilon can dep art significantly from the classical thin disk value. In some cases epsilon >1, i.e., energy is extracted from the black hole.