Coupled dark matter-dark energy scenarios are modeled via a dimensionless parameter ξ, which controls the strength of their interaction. While this coupling is commonly assumed to be constant, there is no underlying physical law or symmetry that forbids a time-dependent ξ parameter. The most general and complete interacting scenarios between the two dark sectors should therefore allow for such a possibility, and it is the main purpose of this study to constrain two possible and wellmotivated coupled cosmologies by means of the most recent and accurate early and late-time universe observations. We find that CMB data alone prefers ξ(z) > 0 and therefore a smaller amount of dark matter, alleviating some crucial and well-known cosmological data tensions. An objective assessment of the Bayesian evidence for the coupled models explored here shows no particular preference for the presence of a dynamical dark sector coupling. more recently, an extra encouraging aspect of these theories has improved their role as an alternative to a pure ΛCDM universe. Namely, in dark matter-dark energy coupled cosmologies the tension between local and CMB estimations of the Hubble constant H 0 could be ameliorated [43,44,45,46]. Current cosmological observations still allow for significant interactions among the two dark sectors, i.e. between dark matter and dark energy, see e.g. Refs. [47,48,49,50,51,52]. In this work we consider an interacting scenario in which vacuum interacts with pressure-less dark matter adopting the more general phenomenological viewpoint, i.e. inspecting a time-dependent coupling. Such a consideration also entails the case of a coupling parameter that remains constant in cosmic time. For our analyses we have assumed that our universe is homogeneous and isotropic, that is, its geometry is well described by the Friedmann-Lemaître-Robertson-Walker line element.The work has been organized as follows. Section 2 contains the gravitational equations within an interacting universe. In Sec. 3 we describe the observational data and the methodology used to constrain the interacting dark energy models. Section 4 presents the observational constraints on the models, including also a Bayesian evidence analysis. Finally, we draw our conclusions in Sec. 5.
GRAVITATIONAL EQUATIONS OF A UNIVERSE WITH INTERACTING DARK SECTORSA homogeneous and isotropic universe is well described by the Friedmann-Lemaître-Robertson-Walker (FLRW) metric: arXiv:1906.11697v1 [astro-ph.CO]