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Cosmography beyond standard candles and rulers

2011/03/31 by Jun-Qing Xia, Jun‐Qing Xia, Vincenzo Vitagliano +2
Mathematics · Physics and Astronomy · #Astrophysics #Astrophysics and Cosmic Phenomena #Baryon acoustic oscillations #COSMIC cancer database #Cosmic distance ladder #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Dark energy #Data set #Galaxies: Formation, Evolution, Phenomena #Galaxy #Hubble's law #Lambda #Luminosity distance #Mathematics #Metric expansion of space #Observational cosmology #Physics #Quantum mechanics #Redshift #Statistics #Supernova #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.85.043520

15 pages, 2 figures, 2 tables, Accepted for publication in PRD

arxiv created 2012/01/25 · openalex publication_date 2012/02/21 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We perform a cosmographic analysis using several cosmological observables such as the luminosity distance moduli, the volume distance, the angular diameter distance and the Hubble parameter. These quantities are determined using different data sets: supernovae type Ia and gamma ray bursts, the baryonic acoustic oscillations, the cosmic microwave background power spectrum and the Hubble parameter as measured from surveys of galaxies. This data set allows us to put constraints on the cosmographic expansion with unprecedented precision. We also present forecasts for the coefficients of the kinematic expansion using future but realistic data sets: constraints on the coefficients of the expansions are likely to improve by a factor of 10 with the upcoming large scale structure probes. Finally, we derive the set of the cosmographic parameters for several cosmological models (including \ensuremathΛCDM) and compare them with our best fit set. While distance measurements are unable to discriminate among these models, we show that the inclusion of the Hubble data set leads to strong constraints on the lowest order coefficients and, in particular, it is incompatible with \ensuremathΛCDM at 3-\ensuremathσ confidence level. We discuss the reliability of this determination and suggest further observations which might be of crucial importance for the viability of cosmographic tests in the future.

Citations