How does the cosmic large-scale structure bias the Hubble diagram?

Abstract

The Hubble diagram is one of the cornerstones of observational cosmology. It is usually analysed assuming that, on average, the underlying relation between magnitude and redshift matches the prediction of a Friedmann-Lemaître-Robertson-Walker model. However, the inhomogeneity of the Universe generically biases these observables, mainly due to peculiar velocities and gravitational lensing, in a way that depends on the notion of average used in theoretical calculations. In this article, we carefully derive the notion of average which corresponds to the observation of the Hubble diagram. We then calculate its bias at second-order in cosmological perturbations, and estimate the consequences on the inference of cosmological parameters, for various current and future surveys. We find that this bias deeply affects direct estimations of the evolution of the dark-energy equation of state. However, errors in the standard inference of cosmological parameters remain smaller than observational uncertainties, even though they reach percent level on some parameters; they reduce to sub-percent level if an optimal distance indicator is used.

19+7 pages, 10 figures, v2 accepted by JCAP; minor changes to improve clarity

References in corpus (15)

• Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated $E_{\mathrm{p},\mathrm{i}}$ - $E_{\mathrm{iso}}$ correlation
• On cosmological observables in a swiss-cheese universe
• How well is our universe described by an FLRW model?
• Light-cone averages in a swiss-cheese universe
• Do stochastic inhomogeneities affect dark-energy precision measurements?
• Szekeres Swiss-Cheese model and supernova observations
• Constraining early and interacting dark energy with gravitational wave standard sirens: the potential of the eLISA mission
• The Szekeres Swiss Cheese model and the CMB observations
• Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size
• Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging
• Observable Deviations from Homogeneity in an Inhomogeneous Universe
• Swiss Cheese and a Cheesy CMB
• Does small scale structure significantly affect cosmological dynamics?
• What is the distance to the CMB?
• Comparison of piecewise-constant methods for dark energy

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