Holographic approach for dark energy - dark matter interaction in curved FLRW spacetime

TL;DR

This paper investigates a holographic dark energy-dark matter interaction in curved FLRW spacetime, revealing a possible future singularity and deviations from the standard cosmological model based on observational data analysis.

Contribution

It introduces a holographic approach to dark energy-dark matter interaction in non-flat spacetime with observational constraints, highlighting singularities and phantom divide crossing.

Findings

Model admits a Type III future singularity.

Crossing of the phantom divide is possible.

Behavior differs significantly from the $\\Lambda$-CDM model.

Abstract

In this work we explore under a holographic approach the dark energy - dark matter interaction in a non-flat Friedmann-Lemaitre-Robertson-Walker spacetime, with a cut-off for the dark energy component given in terms of the Hubble scale. Based on results coming from the use of observational data, we consider a positive interaction $Q$-term together with a Chevallier-Polarsky-Linder type parametrization for the coincidence parameter, we realize that the model admits a Type III future singularity, in this singular universe we have that for a null value of the curvature parameter its scale factor is a constant value. With the use of some cosmological parameters constrained with observational data, we obtain that the crossing of the phantom divide is possible. Once the singular nature is obtained for the model, its Statefinder diagnosis reveals a behavior that is {\it far} from the $\Lambda$-CDM model.