Confronting dark energy models mimicking $\Lambda$CDM epoch with observational constraints: future cosmological perturbations decay or future Rip?
Artyom V. Astashenok, Sergei D. Odintsov

TL;DR
This paper evaluates dark energy models similar to ΛCDM against observational data, showing they are as consistent as ΛCDM and exploring their potential evolution into future singularities or Rip scenarios.
Contribution
It provides a comprehensive analysis of dark energy models mimicking ΛCDM, incorporating observational constraints and examining their possible future evolution.
Findings
Matter perturbations data better constrain deviations from ΛCDM.
Dark energy models remain consistent with observational data.
Growth of matter perturbations can occur before universe disintegration.
Abstract
We confront dark energy models which are currently similar to CDM theory with observational data which include the SNe data, matter density perturbations and baryon acoustic oscillations data. DE cosmology under consideration may evolve to Big Rip, type II or type III future singularity, or to Little Rip or Pseudo-Rip universe. It is shown that matter perturbations data define more precisely the possible deviation from CDM model than consideration of SNe data only. The combined data analysis proves that DE models under consideration are as consistent as CDM model. We demonstrate that growth of matter density perturbations may occur at sufficiently small background density but still before the possible disintegration of bound objects (like clusters of galaxies, galaxies, etc) in Big Rip, type III singularity, Little Rip or Pseudo-Rip universe. This new effect…
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