We present a new cosmological event, which we named the little sibling of the
big rip. This event is much smoother than the big rip singularity. When the
little sibling of the big rip is reached, the Hubble rate and the scale factor
blow up but the cosmic derivative of the Hubble rate does not. This abrupt
event takes place at an infinite cosmic time where the scalar curvature
explodes. We show that a doomsday \'a la little sibling of the big rip is
compatible with an accelerating universe, indeed at present it would mimic
perfectly a LCDM scenario. It turns out that eventhough the event seems to be
harmless as it takes place in the infinite future, the bound structures in the
universe would be unavoidably destroyed on a finite cosmic time from now. The
model can be motivated by considering that the weak energy condition should not
be abusibely violated in our Universe, and it could give us some hints about
the status of recently formulated nonlinear energy conditions.Comment: 20 pages, 4 figures, clarifications include
In this paper we consider 3-form dark energy (DE) models with interactions in the dark sector. We aim to distinguish the phenomenological interactions that are defined through the dark matter (DM) and the DE energy densities. We do our analysis mainly in two stages. In the first stage, we identify the non-interacting 3-form DE model which generically leads to an abrupt late-time cosmological event which is known as the little sibling of the Big Rip (LSBR). We classify the interactions which can possibly avoid this late-time abrupt event. We also study the parameter space of the model that is consistent with the interaction between DM and DE energy densities at present as indicated by recent studies based on BAO and SDSS data. In the later stage, we observationally distinguish those interactions using the statefinder hierarchy parameters {SWe also compute the growth factor parameter (z) for the various interactions we consider herein and use the composite null diagnostic (CND) {S (1) 3 , (z)} as a tool to characterise those interactions by measuring their departures from the concordance model. In addition, we make a preliminary analysis of our model in light of the recently released data by SDSS III on the measurement of the linear growth rate of structure.
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