Model-independent reconstruction of the cosmological scale factor as a function of lookback time

Abstract

We present a model-independent method of reconstructing scale factor against lookback time from the Observational Hubble parameter Data (OHD). The reconstruction method is independent of dynamical models and is only based on the Friedmann-Robertson-Walker metric. We also calculate the propagation of error in the reconstruction process. The reconstruction data errors mainly come from trapezoidal rule approximation and the uncertainty from OHD. Furthermore, the model discrimination ability of original OHD and reconstructed a-t data is discussed under a dimensionless standard method. a-t data can present the differences between cosmology models more clearly than H-z data by comparing their coefficients of variations. Finally, we add fifty simulated H(z) data to estimate the influence of future observation. More Hubble measurements in the future will help constrain cosmological parameters more accurately.

arXiv comment9 pages, 8 figures, 3 tables. Accepted for publication in ApJ

References in corpus (23)

• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Measuring D_A and H at z=0.57 from the Baryon Acoustic Peak in the Data Release 9 Spectroscopic Galaxy Sample
• The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Testing Deviations from $\Lambda$ and General Relativity using anisotropic clustering of galaxies
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Direct Determination of the Kinematics of the Universe and Properties of the Dark Energy as Functions of Redshift
• Measurements of H(z) and D_A(z) from the Two-Dimensional Two-Point Correlation Function of Sloan Digital Sky Survey Luminous Red Galaxies
• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration
• A comprehensive investigation on the slowing down of cosmic acceleration
• Revisiting dark energy models using differential ages of galaxies
• Model-Independent Plotting of the Cosmological Scale Factor as a Function of Lookback Time