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Paper: Analytical Galactic Models with Mild Cusps
Volume: 419, Galaxy Evolution: Emerging Insights and Future Challenges
Page: 163
Authors: Rindler-Daller, T.
Abstract: High-resolution observations of early-type galaxies have shown that their nuclear surface brightness and corresponding stellar mass densities are characterized by cusps. We present a new class of spherical analytical potential-density pairs describing mild cuspy centres. We study isotropic and anisotropic models of Osipkov-Merritt type. The associated distribution functions and intrinsic velocity dispersions can be represented analytically in a unified way in terms of hypergeometric functions for a large range of parameters. This allows for an easy comparison of these important quantities for underlying mass densities having varying degrees of central cuspiness or radial falloff.
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