Theory of Newtonian self-gravitating stationary spherically symmetric systems
Mathematical Physics
2007-10-31 v1 Astrophysics
General Relativity and Quantum Cosmology
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0408045,
title = {Theory of Newtonian self-gravitating stationary spherically symmetric systems},
author = {J. Mark Heinzle and Alan D. Rendall and Claes Uggla},
journal= {arXiv preprint arXiv:math-ph/0408045},
year = {2007}
}
Comments
18 pages; 4 figures