A General Criterion for the Dynamical Stability of Anisotropic Newtonian Systems
arXiv:1601.06134
Abstract
The problem of the dynamical stability of anistropic systems is studied, by proposing a criterion in terms of the adiabatic local index . The result has general validity and can be applied to several physical situations. Configurations that cannot exist in the isotropic regime can exist in the anisotropic one. Some applications of the criterion are also included.
6 pages, 3 figures. Presence of a conceptual mistake [Eq.(20)] for what concerns the deduction of the stability criterion. Consequently Eqs.(27) and (28) are wrong