Flat galaxies with dark matter halos - existence and stability

Details Flat galaxies with dark matter halos - existence and stability Flat galaxies with dark matter halos - existence and stability

2008-06-12

arxiv.org/abs/0806.2065v1

Commun.Math.Phys.291:225-255,2009

Physics

Mathematical Physics

39 pages

Scientific paper

10.1007/s00220-009-0872-7

We consider a model for a flat, disk-like galaxy surrounded by a halo of dark matter, namely a Vlasov-Poisson type system with two particle species, the stars which are restricted to the galactic plane and the dark matter particles. These constituents interact only through the gravitational potential which stars and dark matter create collectively. Using a variational approach we prove the existence of steady state solutions and their nonlinear stability under suitably restricted perturbations.

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