Revisiting the epoch of cosmic acceleration

TL;DR

This paper constrains the transition redshift from deceleration to acceleration in the universe using updated supernova and Hubble data within various dark energy models, finding it to be between 0.61 and 0.82.

Contribution

It provides new constraints on the transition redshift using combined datasets and explores curvature and parameter correlations in different cosmological models.

Findings

Transition redshift $z_t$ between 0.61 and 0.82.

Positive curvature observed in Non-Flat models.

Correlations found among model parameters.

Abstract

We revisit the epoch of cosmic speed-up characterized by the redshift of transition from a decelerated to an accelerated phase. This redshift is termed the transition redshift ($z_t$). We use the spatially Flat and Non-Flat variants of the most common $\Lambda$CDM and XCDM models to put constraints on the transition redshift along with the other model parameters. The data for this analysis comes from the recent and updated Pantheon+ Supernova dataset and the Hubble parameter measurements obtained from Cosmic Chronometers. We consider both datasets with their respective covariance matrices incorporating all kinds of statistical and systematic uncertainties. We observe that using the combined datasets of H(z) and SNe, the best fit value of transition redshift lies in the range $0.61 < z_t < 0.82$ for all four dark energy models. Incidentally, we observe a positive curvature for the Non-Flat models and correlations between several model parameters.