Cosmological perturbations in the interacting dark sector: Mapping fields and fluids

Abstract

There is no unique way to describe the dark energy--dark matter interaction, as we have little information about the nature and dynamics of the dark sector. Hence, in many of the phenomenological dark matter fluid interaction models in the literature, the interaction strength ${Q}_{\ensuremath{\nu}}$ in the dark sector is introduced by hand. Demanding that the interaction strength ${Q}_{\ensuremath{\nu}}$ in the dark sector must have a field theory description, we obtain a unique form of the interaction strength. We show the equivalence between the fields and fluids for the $f(R,\ensuremath{\chi})$ model where $f$ is an arbitrary, smooth function of $R$ and a classical scalar field $\ensuremath{\chi}$, which represents dark matter. Up to first order in perturbations, we show that the one-to-one mapping between the classical field theory description and the phenomenological fluid description of interacting dark energy and dark matter exists only for this unique form of interaction. We then classify the interacting dark energy models considered in the literature into two categories based on the field-theoretic description. We introduce a novel autonomous system and its stability analysis for the general interacting dark sector. We show that the dark-energy-dominated epoch occurs earlier than the noninteracting systems for a specific scalar field potential and a range of coupling strengths.

Topics & Concepts