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Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Published online by Cambridge University Press:  01 November 2007

MIKAEL FJÄLLBORG ,
J. MARK HEINZLE  and
CLAES UGGLA
MIKAEL FJÄLLBORG
Affiliation:
Department of Mathematics, University of Karlstad, S-651 88 Karlstad, and Department of Mathematics, Chalmers University of Technology, S-412 96 Göteborg, Sweden. e-mail: [email protected]
J. MARK HEINZLE
Affiliation:
Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria. e-mail: [email protected]
CLAES UGGLA
Affiliation:
Department of Physics, University of Karlstad, S-651 88 Karlstad, Sweden. e-mail: [email protected]
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Abstract

We study equilibrium states in relativistic galactic dynamics which are described by stationary 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 3 , November 2007 , pp. 731 - 752
Copyright
Copyright © Cambridge Philosophical Society 2007

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