The relativistic singular isothermal disk equilibrium solutions are self-similar and form a two-parameter family described by the sound speed and the linear rotational velocity. Using the equilibrium model as the base state, we study its stability against self-similar but non-axisymmetric perturbations. We discovered that instability can be manifested through radiation driven neutral modes and bifurcation points to non-axisymmetric equilibria.
URL :
http://ptp.ipap.jp/link?PTPS/155/317/
DOI : 10.1143/PTPS.155.317
*E-mail: mike@asiaa.sinica.edu.tw
**E-mail: presid@mx.nthu.edu.tw