On the augmented density of a spherical anisotropic dynamic system

Abstract

This paper presents a set of new conditions on the augmented density of a spherical anisotropic system that is necessary for the underlying two-integral phase-space distribution function to be non-negative. In particular, it is shown that the partial derivatives of the Abel transformations of the augmented density must be non-negative. Applied for the separable augmented densities, this recovers the result of van Hese et al. (2011).

submitted to MNRAS, 5 pages (including 3 numbered appendices)

References in corpus (4)

• A Cusp Slope -- Central Anisotropy Theorem
• Dynamical models with a general anisotropy profile
• How general is the global density slope-anisotropy inequality?
• On the universality of the global slope -- anisotropy inequality

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