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Theory of Newtonian self-gravitating stationary spherically symmetric systems

J. Mark Heinzle·Alan D. Rendall·Claes Uggla
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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.

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J. Mark Heinzle, Alan D. Rendall, Claes Uggla. 2004-08-25. Theory of Newtonian self-gravitating stationary spherically symmetric systems. https://arxiv.org/abs/math-ph/0408045

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