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.
Comment: 18 pages; 4 figures
Subjects: Mathematical Physics; Astrophysics; General Relativity and Quantum Cosmology; 37Cxx; 85A05