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Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Mikael Fjällborg·J. Mark Heinzle·Claes Uggla
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Abstract

We study equilibrium states in relativistic galactic dynamics which are described by solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a bounded state space. Based on a dynamical systems analysis we derive new theorems that guarantee that the steady state solutions have finite radii and masses.

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Mikael Fjällborg, J. Mark Heinzle, Claes Uggla. 2006-09-25. Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics. https://doi.org/10.1017/s0305004107000540

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