The instability analysis of self-gravitation systems under the perturbation with orbital angular momentum

Based on plasma kinetic theory, the instabilities of self-gravitation systems under perturbation with orbital angular momentum (OAM) are investigated, and the concept of twisted Jeans mode is introduced to describe the new phenomenon. The result shows that the growth rate of the Jeans instability is enhanced with the OAM parameter increased, while the critical wave number is consistent with the classical Jeans critical value. It is expected that the present results would give more insight into the evolution and dynamics of a self-gravitational system.