A Cautionary Tale: Dark Energy in Single-Field, Slow-Roll Inflationary Models

preprint2022arXivOpen access

Abstract

The current epoch of accelerated cosmic expansion is postulated to be driven by dark energy, which in the standard model takes the form of a cosmological constant with equation of state parameter w=−1w=-1. We propose an innovative perspective over the nature of dark energy by drawing a parallel with inflation, which we assume to be driven by a single scalar field, the inflaton. The inflaton was not a cosmological constant, as indicated by the fact that inflation ended and by the Planck satellite's constraint of ns≠1n_s\neq 1 at 8σ8σ confidence. Therefore, it is interesting to verify whether its equation of state parameter was measurably different from −1-1. We analyze this question for a class of single-field slow-roll inflationary models, where the hierarchy of Hubble slow-roll parameters is truncated at different orders. Based on the latest Planck and BICEP2/Keck data, we obtain a 68%68\% upper bound of 1+w<0.00141+w < 0.0014 for the three-parameter model, which gives the best description to the data. This provides a cautionary tale for drawing conclusions about the nature of today's dark energy based upon the non-detection of a deviation from w=−1w=-1 with current and upcoming cosmological surveys.

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