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Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Mikael Fjällborg (Institutionen för matematiska vetenskaper) ; J. M. Heinzle ; C. Uggla
Mathematical Proceedings of the Cambridge Philosophical Society (0305-0041). Vol. 143 (2007), p. 731-752.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: STAR CLUSTERS, RADIAL PERTURBATIONS, MODELS, STABILITY



Denna post skapades 2008-12-15.
CPL Pubid: 81403

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Matematik

Chalmers infrastruktur