Generalized pseudo-Newtonian potential for studying accretion disk dynamics in off-equatorial planes around rotating black holes: Description of a vector potential

Abstract

We prescribe a pseudo-Newtonian vector potential for studying accretion disks around Kerr black holes. The potential is useful to study the inner properties of disk not confined to the equatorial plane where general relativistic effect is 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 the general-relativity, is valid for entire regime of Kerr parameter. It reproduces the last stable circular orbit exactly as that in the Kerr geometry. It also reproduces last bound orbit and energy at last stable circular orbit with a maximum error ~7% and ~15% respectively upto an orbital inclination 30 degree.

22 AASTeX pages including 5 postscript figures; Accepted for publication in The Astrophysical Journal

References in corpus (17)

• Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre
• The Spin of the Near-Extreme Kerr Black Hole GRS 1915+105
• XMM-EPIC observation of MCG-6-30-15: Direct evidence for the extraction of energy from aspinning black hole?
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• The variable iron K emission line in MCG-6-30-15
• Chandra/HETGS Spectroscopy of the Galactic Black Hole GX 339-4: A Relativistic Iron Line and Evidence for a Seyfert-like Warm Absorber
• The Relativistic Fe Emission Line in XTE J1650-500 with BeppoSAX: Evidence for Black Hole Spin and Light Bending Effects?
• Evaporation of accretion disks around black holes: the disk-corona transition and the connection to the advection-dominated accretion flow
• Description of Pseudo-Newtonian Potential for the Relativistic Accretion Disk around Kerr Black Holes
• Viscous Torque and Dissipation in the Inner Region of a Thin Accretion Disk: Implications for Measuring Black Hole Spin
• Effect of gravitational radiation reaction on circular orbits around a spinning black hole
• Pseudo-Newtonian Potentials to Describe the Temporal Effects on Relativistic Accretion Disks around Rotating Black Holes and Neutron Stars
• Stability of accretion disk around rotating black holes: a pseudo-general-relativistic fluid dynamical study
• An Extra Long X-Ray Plateau in a Gamma-Ray Burst and the Spinar Paradigm
• Pseudo-Newtonian Potential for Charged Particle in Kerr-Newman Geometry
• Spectral Methods for Time-Dependent Studies of Accretion Flows. I. Two-dimensional, Viscous, Hydrodynamic Disks
• Pseudo-Newtonion potential for the relativistic accretion disk around rotating central objects having hard surface

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