English

On the dynamical instability of self-gravitating systems

General Relativity and Quantum Cosmology 2022-06-29 v2

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<\gamma> \geq 4/3 of the isotropic regime. Also, we discuss some applications of the criterion.

Keywords

Cite

@article{arxiv.1902.04852,
  title  = {On the dynamical instability of self-gravitating systems},
  author = {Giuseppe Alberti},
  journal= {arXiv preprint arXiv:1902.04852},
  year   = {2022}
}

Comments

6 pages, 3 figures. To be published in the proceedings of the 15th Marcel Grossmann Meeting

R2 v1 2026-06-23T07:39:45.957Z