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 ΛCDM 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 8h−1Mpc is not significantly affected with respect to the standard ΛCDM result provides the strongest limit to date on the model (B<6×10−7), an improvement of more than three orders of magnitude over previous upper limits on the value of B. We further show that this limit rules out the logotropic Unified Dark Energy model as a possible solution to the small scale problems of the ΛCDM 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.

Highlights

  • Over the past years increasingly precise cosmological observations have been providing solid evidence in favour of the standard cosmological paradigm, the socalled ΛCDM model

  • The upper limit on the value of B is much smaller than the value (B ∼ 3.5×10−3) required for the model to play a role as a possible solution to the cusp problem of DM halos or the missing satellite problem

  • The parameter A is equal to the minimum energy density of the model which, unless the parameter B is extremely small, should not differ by many orders of magnitude from the observationally inferred present value of the dark energy density (A = Bρde0)

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Summary

INTRODUCTION

Over the past years increasingly precise cosmological observations have been providing solid evidence in favour of the standard cosmological paradigm, the socalled ΛCDM model (see, e.g., [1,2,3]). This model relies on a cosmological constant to drive the current acceleration of the Universe and on the existence of a Cold Dark Matter (CDM) component to explain the observed properties of the large scale structures of the Universe.

LOGOTROPIC UDE FLUID
LOGOTROPIC COSMOLOGY
OBSERVATIONAL CONSTRAINTS
ROLE OF THE PLANCK DENSITY IN THE LOGOTROPIC UDE MODEL
SMALL SCALE PROBLEMS OF THE ΛCDM MODEL
CONCLUSIONS

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