Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2010-09-06
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
Date added, content unchanged. 6 pages, 2 figures, 2 tables. Comments welcome
Scientific paper
A cylindrical model for the dark matter halo of disk galaxies is developed and the rotation curve is derived. At the center of the filament, in the plane perpendicular to the long axis, the circular velocity is constant for distances much less than the filament length and Keplerian at much greater distances. The filament rotation curve is equivalent to that of the spherical truncated flat (TF) profile, a model derived empirically to account for the rapid decline of the radial velocity dispersion of the Milky Way dark halo. For an isothermal, self-gravitating filament with velocity anisotropy parameter {\beta}, the rotation curve in the central region varies as V_{c}\alpha r^{1-{\beta}/2}, thereby establishing a connection between the functional form of rotation curve and the velocity dispersion of the dark matter filament. Under the assumption of constant velocity anisotropy, an isothermal filament of length 89 kpc can account for the observed radial velocity dispersion of the Milky Way dark halo with nearly three times less mass than the NFW profile. The filament dimensions appear to be consistent with free-streaming neutrinos of mass 1.1 eV.
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