Gaussian process estimation of transition redshift
J. F. Jesus, R. Valentim, A. A. Escobal, S. H. Pereira
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 $z_t=0.59^{+0.12}_{-0.11}$. The reconstruction from SNe Ia data assumes spatial flatness and yields $z_t=0.683^{+0.11}_{-0.082}$. These results were found with a Gaussian kernel and we show that they are consistent with two other kernel choices.
Topics & Concepts
RedshiftGaussian processGaussianFlatness (cosmology)PhysicsAccelerationKernel (algebra)Parametric statisticsStatistical physicsCOSMIC cancer databaseAstrophysicsCosmologyApplied mathematicsAlgorithmMathematicsStatisticsPure mathematicsClassical mechanicsQuantum mechanicsGalaxyGamma-ray bursts and supernovaeCosmology and Gravitation TheoriesAstronomy and Astrophysical Research