Shubhrangshu Ghosh and Banibrata Mukhopadhyay 2007 ApJ 667 367 doi:10.1086/520920
Shubhrangshu Ghosh1 and Banibrata Mukhopadhyay1
Show affiliationsWe prescribe a pseudo-Newtonian vector potential for studying accretion disks around Kerr black holes. The potential is useful for studying the inner properties of a disk not confined to the equatorial plane where general relativistic effects are indispensable. Therefore, we incorporate the essential properties of the metric at the inner radii through the pseudo-Newtonian potential derived from the general Kerr spacetime. The potential, reproducing most of the salient features of general relativity, is valid for the entire regime of the Kerr parameter. It reproduces the last stable circular orbit exactly as that in the Kerr geometry. It also reproduces the last bound orbit and energy at the last stable circular orbit with a maximum error ~7% and ~15%, respectively, up to an orbital inclination 30°.
accretion, accretion disks; black hole physics; gravitation; relativity
Issue 1 (2007 September 20)
Received 2007 April 17, accepted for publication 2007 June 14
Shubhrangshu Ghosh and Banibrata Mukhopadhyay 2007 ApJ 667 367
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