PREPRINT
9156F3B5-CE14-47C2-B74B-0C6117165D7E

Theory of Newtonian self-gravitating stationary spherically symmetric systems

J. Mark Heinzle, Alan D. Rendall, Claes Uggla
arXiv:math-ph/0408045

Submitted on 25 August 2004

Abstract

We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure.Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and compact support.

Preprint

Comment: 18 pages; 4 figures

Subjects: Mathematical Physics; Astrophysics; General Relativity and Quantum Cosmology; 37Cxx; 85A05

URL: https://arxiv.org/abs/math-ph/0408045