We study the stability of accretion disc around magnetised stars. Starting from the equations of magnetohydrodynamics we derive equations for linearized perturbation of geometrically thin, optically thick axisymmetric accretion disc with an internal dynamo around magnetized stars. The structure and evolution of such discs are governed by an evolution equation for matter surface density ∑(R,T). Using the time-dependent equations for an accretion disc we do a linear stability analysis of our steady disc solutions in the presence of the magnetic field generated due to an internal dynamo.
Cite this paper
Tessema, S. (2014) Stability of Accretion Discs around Magnetized Stars. International Journal of Astronomy and Astrophysics
, 319-331. doi: 10.4236/ijaa.2014.42026
 Shakura, N.I. and Sunyaev, R.A. (1973) Black Holes in Binary Systems. Observational Appearance, 24, 337-355.
 Lightman, A.P. and Eardley, D.M. (1974) Black Holes in Binary Systems: Instability of Disc Accretion. Astrophysical Journal, 187, L1-L3. http://dx.doi.org/10.1086/181377
 Pringle, J.E., Rees, M.J. and Pacholczyk, A.G. (1973) Accretion onto Massive Black Holes. Astronomy & Astrophysics (A&A), 29, 179-184.
 Shakura, N.I. and Sunyaev, R.A. (1976) Theory of the Instability of Disc Accretion onto Black Holes and the Variability of Binary X-Ray Sources, Galactic Nuclei and Quasars. MNRAS, 175, 613-632.
 Kato, S. (1978) Pulsational Instability of Accretion Disks to Axially Symmtric Oscillations. MNRAS, 185, 629-642.
 Bluenthal, G.R., Lin, D.N.C. and Yang, L.T. (1984) Astrophysical Journal, 287, 7743.
 Balbus, S.A. and Hawley, J.F. (1991) A Powerful Local Shear Instability in Weakly Magnetized Discs. I. Linear Analysis. Astrophysical Journal, 376, 214-222. http://dx.doi.org/10.1086/170270
 Stone, et al. (1996) MNRAS, 175, 613.
 Tout, C.A. and Pringle, J.E. (1992) Accretion Disc Viscosity: A Simple Model for a Magnetic Dynamo. MNRAS, 259, 604-612.
 Tessema, S.B. and Torkelsson, U. (2010) The Structure of Thin Accretion Discs around Magnetised Stars. Astronomy & Astrophysics (A&A), 509.
 Tessema, S.B. and Torkelsson, U. (2011) Thin Accretion Discs around Millisecond Pulsars. MNRAS, 412, 1650-1658. http://dx.doi.org/10.1111/j.1365-2966.2010.18002.x
 Ghosh, P. and Lamb, F.K. (1979) Accretion by Rotating Magnetic Neutron Stars. II Radial and Vertical Structure of the Transition Zone in Disc Accretion. Astrophysical Journal, 232, 259-276. http://dx.doi.org/10.1086/157285
 Ghosh, P. and Lamb, F.K. (1979) Accretion by Rotating Magnetic Neutron Stars. III. Accretion Torques and Period Changes in Pulsating X-Ray Sources. Astrophysical Journal, 234, 296-316. http://dx.doi.org/10.1086/157498
 Hawley, J.F., Gammie, C.F. and Balbus, S.A. (1995) Local Three-Dimensional MHD Simulation of Accretion Discs. Astrophysical Journal, 440, 742. http://dx.doi.org/10.1086/175311
 Brandenburg, A., Nordlund, A.A., Stein, R.F. and Torkelsson, U. (1995) Dynamo-Generated Turbulence and Large Scale Magnetic Fields in a Keplerian-Shear Flow. Astrophysical Journal, 446, 741-754. http://dx.doi.org/10.1086/175831
 Torkelsson, U. (1998) Astrophysical Journal, 463, 656.