Gaussian Process Estimation of Transition Redshift

Abstract

This paper aims to put constraints on the transition redshift $z_t$, which determines the onset of cosmic acceleration, in cosmological-model independent frameworks. In order to do that, we use the non-parametric Gaussian Process method with $H(z)$ and SNe Ia data. The deceleration parameter reconstruction from $H(z)$ data yields $z_t=0.59_{-0.11}^{+0.12}$. The reconstruction from SNe Ia data assumes spatial flatness and yields $z_t=0.683_{-0.082}^{+0.11}$. These results were found with a Gaussian kernel and we show that they are consistent with two other kernel choices.

12 figures, 19 pages