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Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
2007 (English)In: Math. Proc. Cambridge Phil. Soc. 143 (2007) 731-752Article in journal (Refereed)
Abstract [en]

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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URN: urn:nbn:se:kau:diva-23302OAI: diva2:597058
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22

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Uggla, Claes
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