Abstract
In the last dozens of years different data sets revealed the accelerated expansion of the Universe which is driven by the so called dark energy, that now dominates the total amount of matter-energy in the Universe. In a recent paper Glavan, Prokopec and Starobinsky propose an interesting model of dark energy, which traces the Universe evolution from the very early quantum era to the present time. Here we perform a high-redshift analysis to check if this new model is compatible with present day observational data and compare predictions of this model with that of the standard varLambda CDM cosmological model. In our analysis we use only the most reliable observational data, namely the distances to selected SNIa, GRB Hubble diagram, and 28 direct measurements of the Hubble constant. Moreover we consider also non geometric data related to the growth rate of density perturbations. We explore the probability distributions of the cosmological parameters for both models. To build up their own regions of confidence, we maximize the appropriate likelihood functions using the Markov chain Monte Carlo (MCMC) method. Our statistical analysis indicates that these very different models of dark energy are compatible with present day observational data and the GPS model seems slightly favored with respect to the varLambda hbox {CDM model}. However to further restrict different models of dark energy it will be necessary to increase the precision of the Hubble diagram at high redshifts and to perform more detailed analysis of the influence of dark energy on the process of formation of large scale structure.
Highlights
PDE = wρDE, (1)where the proportionality coefficient w, in general, could depend on time
In the recent paper “Stochastic dark energy from inflationary quantum fluctuations” based on their earlier ideas and calculations Glavan, Prokopec and Starobinsky [5] propose an interesting model of dark energy that, in what follows, we will call the GPS model
In order to address the problem of degeneracy in the dark energy sector, that manifests in the fact that different models of dark energy are compatible with geometric tests, that are sensitive only to the background expansion of the universe, we consider additional observational data, which are non geometric
Summary
Where the proportionality coefficient w, in general, could depend on time. To generate accelerated expansion w < −1/3, w = −1 for the cosmological constant. In the recent paper “Stochastic dark energy from inflationary quantum fluctuations” based on their earlier ideas and calculations Glavan, Prokopec and Starobinsky [5] propose an interesting model of dark energy that, in what follows, we will call the GPS model They consider a very light non minimally coupled spectator scalar field and trace its evolution from the very early quantum era to the present time. Later they study the quantum induced corrections ρQ and pQ at the early period of inflation, radiation dominated period and matter dominated period They consider the late stage of evolution of the Universe that begins at an arbitrarily set initial moment zin = 10, at that moment t = t∗, H (t∗) = H∗ >> HDE , where HDE is the value of the Hubble expansion rate at the beginning of the epoch of dark energy domination. It turns out that the quantum backreaction becomes essential when the model parameters satisfy the following conditions: m
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