Theory of Newtonian self-gravitating stationary spherically symmetric systems

Details Theory of Newtonian self-gravitating stationary spherically symmetric systems Theory of Newtonian self-gravitating stationary spherically symmetric systems

2004-08-25

arxiv.org/abs/math-ph/0408045v1

Math. Proc. Camb. Phil. Soc. 140: 177-192, 2006.

Physics

Mathematical Physics

18 pages; 4 figures

Scientific paper

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.

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