We study the local and global stability of self-gravitating disks in the context of modified gravity (MOG). MOG is a covariant generalization of general relativity and developed as an alternative for dark matter particles. On the other hand the stability of spiral galaxies is directly linked to the dark matter problem. Thus it seems necessary to study the astrophysical consequences of MOG from gravitational stability point of view. More specifically, we review the generalized version of the Toomre's stability criterion and present the result of some idealized N-body simulation for the global stability of self-gravitating disks.

Keywords