An analytical approach to the dwarf galaxies cusp problem
Rafael S. de Souza, Emille E. O. Ishida
TL;DR
This paper presents an analytical method to explain the transition from cuspy to core-like dark matter profiles in dwarf galaxies by considering baryonic effects and energy redistribution.
Contribution
It introduces an analytical solution linking baryonic physics to the evolution of dark matter density profiles, addressing the cusp-core problem.
Findings
Reproduces cusp to core transition through energy decrease
Calculates distribution function for NFW halos considering baryonic effects
Provides a simple argument for density profile evolution
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.
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