Flat galaxies with dark matter halos - existence and stability
arXiv:0806.2065 · doi:10.1007/s00220-009-0872-7
Abstract
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.
39 pages
References in corpus (10)
- Non-linear stability of gaseous stars
- Stable steady states in stellar dynamics
- Simulated Dark-Matter Halos as a Test of Nonextensive Statistical Mechanics
- Isotropic steady states in galactic dynamics revised
- Dark matter distribution function from non-extensive statistical mechanics
- A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
- Flat steady states in stellar dynamics - existence and stability
- Stellar polytropes and Navarro-Frenk-White halo models: comparison with observations
- Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
- Stability of disk-like galaxies--Part I: Stability via reduction