Dark Matter Halos: The Dynamical Basis of Effective Empirical Models

Details Dark Matter Halos: The Dynamical Basis of Effective Empirical Models Dark Matter Halos: The Dynamical Basis of Effective Empirical Models

2010-10-13

arxiv.org/abs/1010.2602v1

Advances in Astronomy, Focus issue on "Dark Matter", vol. 2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 2 figures, Accepted by Advances in Astronomy

Scientific paper

We investigate the dynamical basis of the classic empirical models (specifically, Sersic-Einasto and generalized NFW) that are widely used to describe the distributions of collisionless matter in galaxies. We submit that such a basis is provided by our \alpha-profiles, shown to constitute solutions of the Jeans dynamical equilibrium with physical boundary conditions. We show how to set the parameters of the empirical in terms of the dynamical models; we find the empirical models, and specifically Sersic-Einasto, to constitute a simple and close approximation to the dynamical models. Finally, we discuss how these provide an useful baseline for assessing the impact of the small-scale dynamics that may modulate the density slope in the central galaxy regions.

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