Spin 3/5 Black Hole in GRO J1655-40?

Abstract

When a bright spot in a high-inclination disk orbits a black hole, its light is periodically lensed and Doppler shifted. If the spots occupy a narrow range of radii, a quasi-periodic oscillation (QPO) will result. I calculate the QPO frequency assuming that the spots appear near rmax - the radius of the maximal proper radiation flux from the disk. The calculated frequency depends on the black hole mass and spin. For the microquasar GRO J1655-40, the black hole mass is known and a 300 Hz QPO was observed. The inferred black hole spin is about 60% of the maximal. The orbit precession frequency at rmax is 20Hz, this QPO was also observed in GRO J1655-40. An approximate formula for rmax is given.

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