Density profile of halos in a specific background

Abstract

The density profiles of dark matter halos is a subject that has been addressed by numerical and analytic means. One interesting result of simulations is the finding that the inner properties of halos depend on their background density, which is interpreted as due to the different merger rates suffered by halos in different environments, the so-called “assembly bias”. In this work, we use the analytic CUSP formalism to derive the density profiles of purely accreting halos in different backgrounds, which shows that mergers are not the origin of that effect