Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

• Autores: Mikael Fjällborg, J. Mark Heinzle, Claes Uggla
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 731-752
• Idioma: inglés
• DOI: 10.1017/s0305004107000540
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• Resumen

  • 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.