Analytical Anisotropic Spherical Galaxy Models For γ Density Profiles

Details Analytical Anisotropic Spherical Galaxy Models For γ Density Profiles Analytical Anisotropic Spherical Galaxy Models For γ Density Profiles

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007dda....38.0804h&link_type=abstract

American Astronomical Society, DDA meeting #38, #8.04

Astronomy and Astrophysics

Astronomy

Scientific paper

Density profiles with a central density cusp of slope gamma are widely used to fit elliptical galaxies and the bulges of spiral galaxies. Isotropic distribution functions for a class of such models were given by Tremaine et al (1994, AJ, 107, 634). Buyle et al (2007, MN, 375, 773) have recently added an alternative range of anisotropic distribution functions, mostly with spatially varying anisotropies. The central density cusp allows distribution functions that are radially-biased in the center, but a limit is imposed by the cusp slope-central anisotropy theorem of An & Evans (2006, ApJ, 642, 752). That limit is that the central value of Binney's anisotropy parameter beta cannot exceed half the central density slope. Models with a central radial bias show line-of-sight velocity profiles with discontinuous slopes at zero velocity when the central beta=0.5, and sharp cusps for larger values of beta.

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