Density profiles of dark matter halos with anisotropic velocity tensors

✍ Scribed by N. Hiotelis

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 675 KB
• Volume: 7
• Category: Article
• ISSN: 1384-1076
• DOI: 10.1016/s1384-1076(02)00171-9

✦ Synopsis

We present density profiles, that are solutions of the spherical Jeans equation, derived under the following two 3 2a assumptions: (i) the coarse grained phase-density follows a power-law of radius, r /s ~r , and (ii) the velocity anisotropy 2 parameter is given by the relation b (r) 5 b 1 2b (r /r )/[1 1 (r /r ) ] where b , b are parameters and r equals twice the a 1 2 * * 1 2 * virial radius, r , of the system. These assumptions are well motivated by the results of N-body simulations. Density profiles v ir 22.5 have increasing logarithmic slopes g, defined by g 5 2 d ln r /d ln r. The values of g at r 5 10 r , a distance where the v ir

systems could be resolved by large N-body simulations, lie in the range 1.0-1.6. These inner values of g increase for increasing b and for increasing concentration of the system. On the other hand, slopes at r 5 r lie in the range 2.42-3.82.

1 v ir 23

A model density profile that fits well the results at radial distances between 10 r and r and connects kinematic and v ir v ir structural characteristics of spherical systems is described.