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Flat Galaxies with Dark Matter Halos—Existence and Stability

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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.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Bayreuth, D 95440, Bayreuth, Germany

    Roman Fiřt, Gerhard Rein & Martin Seehafer

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  1. Roman Fiřt
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  2. Gerhard Rein
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  3. Martin Seehafer
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Correspondence to Gerhard Rein.

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Communicated by A. Kupiainen

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Fiřt, R., Rein, G. & Seehafer, M. Flat Galaxies with Dark Matter Halos—Existence and Stability. Commun. Math. Phys. 291, 225–255 (2009). https://doi.org/10.1007/s00220-009-0872-7

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  • DOI: https://doi.org/10.1007/s00220-009-0872-7

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