On the dynamical instability of self-gravitating systems

preprint2019arXivOpen access

Abstract

We study the dynamical stability of self-gravitating systems in presence of anisotropy. In particular, we introduce a stability criterion, in terms of the adiabatic local index, that generalizes the stability condition <γ>≥4/3<γ> \geq 4/3 of the isotropic regime. Also, we discuss some applications of the criterion.

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