A cosmographic analysis of the transition to acceleration using SN-Ia and BAO

Abstract

We explore the distance-redshift relation using a cosmographic methodology, and show how the cosmographic parameters can be used to determine the redshift of transition from deceleration to acceleration. Such a transition at a low redshift occupies only a small region of the available parameter space, and the prior assumption of an early period of deceleration can significantly change the posterior constraints. We use available type Ia Supernovae (SN-Ia) and Baryon Acoustic Oscillation (BAO) data sets to determine the cosmographic deceleration $q_0$, jerk $j_0$, snap $s_0$ and lerk $l_0$ parameters. The parameters are consistent with the $\Lambda$CDM model for a flat universe within 2-sigma. We derive constraints on the redshift of transition from deceleration to acceleration for the different expansions, and find $z_{\mathrm{acc}}>0.14$ at 95% confidence in the most conservative case.

21 pages, 10 figures, 4 tables

References in corpus (5)

• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Cosmographic Hubble fits to the supernova data
• Present and future evidence for evolving dark energy
• On the luminosity distance and the epoch of acceleration

Cited by in corpus (10)

• Extended Gravity Cosmography
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Investigating early and late-time epochs in $f(Q)$ gravity
• Modified cosmology from quantum deformed entropy
• Revisiting the epoch of cosmic acceleration
• Interacting Barrow Holographic Dark Energy in Non-flat Universe
• Cosmography of the minimally extended Varying Speed of Light Model
• Constraining deceleration, jerk and transition redshift using cosmic chronometers, Type Ia supernovae and ISW effect
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe