{ "id": "1010.2602", "version": "v1", "published": "2010-10-13T09:00:04.000Z", "updated": "2010-10-13T09:00:04.000Z", "title": "Dark Matter Halos: The Dynamical Basis of Effective Empirical Models", "authors": [ "A. Lapi", "A. Cavaliere" ], "comment": "11 pages, 2 figures, Accepted by Advances in Astronomy", "journal": "Advances in Astronomy, Focus issue on \"Dark Matter\", vol. 2011", "categories": [ "astro-ph.CO", "astro-ph.GA" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2010-10-13T09:00:04.000Z" } ], "analyses": { "keywords": [ "dark matter halos", "effective empirical models", "dynamical basis", "dynamical models", "central galaxy regions" ], "tags": [ "journal article" ], "publication": { "doi": "10.1155/2011/903429", "journal": "Advances in Astronomy", "year": 2011, "volume": 2011, "pages": 903429 }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 872751, "adsabs": "2011AdAst2011E...7L" } } }