Current constraints on the epoch of cosmic acceleration

TL;DR

This paper analyzes the universe's expansion history using supernovae, CMB, and BAO data to estimate when cosmic acceleration began, considering spatial curvature effects for more precise constraints.

Contribution

It introduces a parameterization of the deceleration parameter to better estimate the epoch of cosmic acceleration and assesses the impact of spatial curvature on these estimates.

Findings

Estimated the epoch of cosmic acceleration with improved precision.

Quantified the influence of spatial curvature on acceleration estimates.

Provided tighter bounds on model parameters q0 and q1.

Abstract

The cosmographic expansion history of the universe is investigated by using the 557 type Ia supernovae from the Union2 Compilation set along with the current estimates involving the product of the CMB acoustic scale $\ell_{A}$ and the BAO peak at two different redshifts. Using a well-behaved parameterization for the deceleration parameter, $q(z) = q_0 + q_1z/(1 + z)$, we estimate the accelerating redshift $z_{acc}=-q_0/(q_0 + q_1)$ (at which the universe switches from deceleration to acceleration) and investigate the influence of a non-vanishing spatial curvature on these estimates. We also use the asymptotic value of $q(z)$ at high-$z$ to place more restrictive bounds on the model parameters $q_0$ and $q_1$, which results in a more precise determination of the epoch of cosmic acceleration.