On the gravitational stability of baryonic gas clouds in the background of dark matter

Abstract Linear stability of self-gravitating baryonic gas clouds that are gravitationally coupled with the background dark matter is investigated. We generalize further previous work of D. Tsiklauri [Tsiklauri D., 1998, ApJ 507, 226] by considering more general type of linear perturbations. New analytic general solutions are derived, which under appropriate boundary conditions will allow obtaining of corresponding dispersion relations. An illustrative example is given. Two novel, distinct oscillatory modes are found