An analytical approach to the dwarf galaxies cusp problem

Abstract

An analytical solution for the discrepancy between observed core-like profiles and predicted cusp profiles in dark matter halos is studied. We calculate the distribution function for Navarro-Frenk-White halos and extract energy from the distribution, taking into account the effects of baryonic physics processes. We show with a simple argument that we can reproduce the evolution of a cusp to a flat density profile by a decrease of the initial potential energy.

6 pages, 2 figures

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• The Effect of a Single Supernova Explosion on the Cuspy Density Profile of a Small-Mass Dark Matter Halo
• Analytical families of 2-component anisotropic polytropes and their relativistic extensions
• Robust PCA and MIC statistics of baryons in early mini-haloes
• The double-power approach to spherically symmetric astrophysical systems
• Constraining Warm Dark Matter with high-$z$ supernova lensing
• Analytical analysis of the origin of core-cusp matter density distributions in galaxies