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Astron. Astrophys. 324, 829-834 (1997)
The dynamics of twisted accretion disc around a Kerr black hole
M. Demianski 1,
2 and
P.B. Ivanov 3
1 Institute for Theoretical Physics, University of Warsaw,
PL-00618 Warsaw, Poland
2 Department of Astronomy, Williams College, Williamstown,
MA 01267, USA
3 Astro Space Center of Lebedev Physical Institute,
Profsoyuznaya 84/32, 117810 Moscow, Russia
Received 26 December 1996 / Accepted 27 January 1997
Abstract
We derive the system of equations describing the time dependent twisted accretion disc around a Kerr black hole (twist equations). The post-Newtonian corrections to the equations of motion and effects of the gravitomagnetic force are taken into account. We show that introduction of appropriate coordinate system greatly simplifies the derivation of equations and allows to consider sufficiently large but smoothly changing with distance and time inclination angles. The twist equations obtained by different authors in previous works are limiting cases of our general system.
Key words: accretion, accretion discs
Send offprint requests to: P. Ivanov
Contents
- 1. Introduction
- 2. The coordinate system and the main equations
- 3. Time dependent twist equations
- 4. The isothermal
![[FORMULA]](img18.gif)
-disc - 5. Discussion
- 6. Conclusions
- Acknowledgements
- References
© European Southern Observatory (ESO) 1997
Online publication: May 26, 1998
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