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