on the dynamics of self-gravitating disks. More specifically, we investigate the consequences of the presence of this term for the local stability of the self-gravitating disks. In fact, we derive a generalized version of Toomre's local stability criterion...

In the framework of metric f (R) gravity, we find the dispersion relation for the propagation of tightly

wound spiral density waves in the surface of rotating, selfgravitating disks. Also, new Toomre-like stability ...

's stability criterion and present the result of some idealized N-body simulation for the global stability of self-gravitating disks....