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Dark matter density profiles from the Jeans equation


Hansen, Steen H (2004). Dark matter density profiles from the Jeans equation. Monthly Notices of the Royal Astronomical Society, 352(4):L41-L43.

Abstract

We make a simple analytical study of radial profiles of dark matter structures, with special attention given to the question of the central radial density profile. We let our theoretical assumptions be guided by results from numerical simulations, and show that at any radius where both the radial density profile, ρ, and the phase-space-like density profile, ρ/σε, are exact power laws, the only allowed density slopes in agreement with the spherically symmetric and isotropic Jeans equation are in the range 1 ≤β≤ 3, where β≡−d ln ρ/d ln r. We also allow for a radial variation of these power laws, as well as anisotropy, and show how this allows for more shallow central slopes

Abstract

We make a simple analytical study of radial profiles of dark matter structures, with special attention given to the question of the central radial density profile. We let our theoretical assumptions be guided by results from numerical simulations, and show that at any radius where both the radial density profile, ρ, and the phase-space-like density profile, ρ/σε, are exact power laws, the only allowed density slopes in agreement with the spherically symmetric and isotropic Jeans equation are in the range 1 ≤β≤ 3, where β≡−d ln ρ/d ln r. We also allow for a radial variation of these power laws, as well as anisotropy, and show how this allows for more shallow central slopes

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Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Astronomy and Astrophysics
Physical Sciences > Space and Planetary Science
Uncontrolled Keywords:Space and Planetary Science, Astronomy and Astrophysics
Language:English
Date:1 August 2004
Deposited On:16 Oct 2018 16:10
Last Modified:26 Jan 2022 17:35
Publisher:Oxford University Press
ISSN:0035-8711
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1111/j.1365-2966.2004.08204.x
  • Content: Published Version
  • Language: English
  • Description: Nationallizenz 142-005