Physics
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.265..365v&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 265, NO. 2/NOV15, P. 365, 1993
Physics
23
Accretion, Accretion Discs - Black Hole Physics - Relativity - Celestial Mechanics, Stellar Dynamics - Galaxies: Active
Scientific paper
Our aim is to study the evolution of the orbit of a star under the influence of interactions with an accretion disc in an AGN. The model considered consists of a low-mass compact object orbiting a supermassive black hole and colliding periodically with the accretion disc. Approximate calculations based mostly on the Newtonian theory of gravity have been carried out by several authors, to estimate the effects of circularization of initially eccentric orbits and their dragging into the disc plane. Here, we present the first step towards a more adequate general relativistic approach in which the gravitational field of the nucleus is described by the Kerr metric. The star is assumed to move along a geodesic arc between successive interactions with an equatorial accretion disc. We solve relevant formulae for the geodesic motion in terms of elliptic integrals, and construct a fast numerical code which, after specifying details of the star-disc interaction, enables us to follow the trajectory of the star for many revolutions and study the evolution of its eccentricity and inclination with respect to the disc. Lense-Thirring precession of the orbit is potentially a very important effect for observational confirmation of the presence of a rotating black hole in the nucleus. Our approach takes effects of the Lense-Thirring precession into account with no approximation.
Karas Vladimir
Vokrouhlicky David
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