Constraining Logotropic Unified Dark Energy Models

TL;DR

This paper constrains logotropic unified dark energy models using cosmic structure growth data, significantly tightening previous bounds and ruling out the model as a solution to small-scale issues in standard cosmology.

Contribution

It provides the strongest constraint to date on the model parameter B, improving previous limits by over three orders of magnitude and assessing the model's viability for solving small-scale problems.

Findings

Constraint B < 6 x 10^{-7} from structure growth data

Logotropic model is incompatible with small-scale structure observations

Original model version with Planck density parameter is ruled out

Abstract

A unification of dark matter and dark energy in terms of a logotropic perfect dark fluid has recently been proposed, where deviations with respect to the standard $\Lambda {\rm CDM}$ model are dependent on a single parameter $B$. In this paper we show that the requirement that the linear growth of cosmic structures on comoving scales larger than $8 h^{-1} \, {\rm Mpc}$ is not significantly affected with respect to the standard $\Lambda {\rm CDM}$ result provides the strongest constraint to date on the model ($B <6 \times 10^{-7}$), an improvement of more than three orders of magnitude over previous constraints on the value of $B$. We further show that this constraint rules out the logotropic Unified Dark Energy model as a possible solution to the small scale problems of the $\Lambda$CDM model, including the cusp problem of Dark Matter halos or the missing satellite problem, as well as the original version of the model where the Planck energy density was taken as one of the two parameters characterizing the logotropic dark fluid.