Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Details Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

2006-09-20

arxiv.org/abs/gr-qc/0609074v4

Math.Proc.CambridgePhil.Soc.143:731-752,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 1 figure

Scientific paper

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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