On the augmented density of a spherical anisotropic dynamic system
Mathematical Physics
2011-06-07 v1 Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
math.MP
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).
Cite
@article{arxiv.1101.0006,
title = {On the augmented density of a spherical anisotropic dynamic system},
author = {J. An},
journal= {arXiv preprint arXiv:1101.0006},
year = {2011}
}
Comments
submitted to MNRAS, 5 pages (including 3 numbered appendices)