Analytical analysis of the origin of core-cusp matter density distributions in galaxies
Abstract
We propose an analytical method to describe a matter density profile near a galaxy center. The description is based on the study of the distribution function of particles over possible trajectories. We establish a relation between the central slope of density profile and the near-origin behavior of the angular momentum distribution function. We consider both a spherically symmetric (on average) matter distribution as well as deviations from it. If the density profile forms in a background of spherical gravitation potential then a core-type distribution arises. A regular matter may behave in such way if the background potential was formed by the dark matter. In the presence of deviation from spherical symmetry the formation of cusp-type distribution is possible. Moreover, a reduction of spherical symmetry to the axial one leads to a less steep cusp profile. The complete symmetry breaking (which corresponds, in particular, to the common setup of numerical simulations), leads to a steeper cusp profile.
Keywords
Cite
@article{arxiv.2207.04288,
title = {Analytical analysis of the origin of core-cusp matter density distributions in galaxies},
author = {A. D. Kapustin and S. A. Paston},
journal= {arXiv preprint arXiv:2207.04288},
year = {2022}
}
Comments
LaTeX, 13 pages. In this version, the study of possible deviations from spherical symmetry was added, the present version corresponds to the published one