Dark matter density profiles from the Jeans equation

Details Dark matter density profiles from the Jeans equation Dark matter density profiles from the Jeans equation

2004-05-19

arxiv.org/abs/astro-ph/0405371v2

Mon.Not.Roy.Astron.Soc. 352 (2004) L41

Astronomy and Astrophysics

Astrophysics

4 pages, no figures, minor typos corrected

Scientific paper

10.1111/j.1365-2966.2004.08204.x

We make a simple analytical study of radial profiles of dark matter structures, with special attention 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, rho, and the phase-space-like density profile, rho/sigma^epsilon, are exact power laws, the only allowed density slopes in agreement with the spherical symmetric and isotropic Jeans equation are in the range 1< beta <3, where beta = - dln(rho)/dln(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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