Non-universality of dark-matter halos: cusps, cores, and the central potential

preprint2015arXivOpen access

Abstract

Dark-matter halos grown in cosmological simulations appear to have central NFW-like density cusps with mean values of dlog⁡ρ/dlog⁡r≈−1d\logρ/d\log r \approx -1, and some dispersion, which is generally parametrized by the varying index αα in the Einasto density profile fitting function. Non-universality in profile shapes is also seen in observed galaxy clusters and possibly dwarf galaxies. Here we show that non-universality, at any given mass scale, is an intrinsic property of DARKexp, a theoretically derived model for collisionless self-gravitating systems. We demonstrate that DARKexp - which has only one shape parameter, ϕ0ϕ_0 - fits the dispersion in profile shapes of massive simulated halos as well as observed clusters very well. DARKexp also allows for cored dark-matter profiles, such as those found for dwarf spheroidal galaxies. We provide approximate analytical relations between DARKexp ϕ0ϕ_0, Einasto αα, or the central logarithmic slope in the Dehnen-Tremaine analytical γγ-models. The range in halo parameters reflects a substantial variation in the binding energies per unit mass of dark-matter halos.

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