The effect of large scale inhomogeneities on the luminosity distance

Brouzakis, N.; Tetradis, N.; Tzavara, Eleftheria

doi:10.1088/1475-7516/2007/02/013

Cited by 87 publications

(138 citation statements)

References 55 publications

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“…The optical properties of such models have been extensively studied (see Refs. [54][55][56][57][58][59][60][61][62]) to finally conclude that the average luminosityredshift relation remains unchanged with respect to the purely homogeneous case, contrary to the early results of Refs. [52,53].…”

Section: Figcontrasting

confidence: 86%

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Interpretation of the Hubble diagram in a nonhomogeneous universe

Fleury¹,

Dupuy²,

Uzan³

2013

Phys. Rev. D

130

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In the standard cosmological framework, the Hubble diagram is interpreted by assuming that the light emitted by standard candles propagates in a spatially homogeneous and isotropic spacetime. However, the light from "point sources"-such as supernovae-probes the Universe on scales where the homogeneity principle is no longer valid. Inhomogeneities are expected to induce a bias and a dispersion of the Hubble diagram. This is investigated by considering a Swiss-cheese cosmological model, which (1) is an exact solution of the Einstein field equations, (2) is strongly inhomogeneous on small scales, but (3) has the same expansion history as a strictly homogeneous and isotropic universe. By simulating Hubble diagrams in such models, we quantify the influence of inhomogeneities on the measurement of the cosmological parameters. Though significant in general, the effects reduce drastically for a universe dominated by the cosmological constant.

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Section: Figcontrasting

confidence: 86%

“…In the latter case, a source can be either demagnified if light mostly propagates through underdense regions [54,55,59] (and if the observer is far away from a void, see Ref. [76]), or magnified otherwise.…”

Section: Summary and Discussionmentioning

confidence: 99%

Interpretation of the Hubble diagram in a nonhomogeneous universe

Fleury¹,

Dupuy²,

Uzan³

2013

Phys. Rev. D

130

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“…Bothe effects for O(300)Mpc/h sized Voids lead only to a small shift in the CMB monopole, which can safely be neglected. Finally, as stressed in [24][25][26] there are in general (L/rH) 2 corrections to the luminosity distance in the LTB metrics due to Lensing effects, but these effects are actually zero when averaged over the entire sky, or when the observer is at the centre.…”

Section: Jcap09(2009)025mentioning

confidence: 96%

Local void vs dark energy: confrontation with WMAP and type Ia supernovae

Alexander

Biswas

Notari

et al. 2009

J. Cosmol. Astropart. Phys.

126

193

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Abstract. It is now a known fact that if we happen to be living in the middle of a large underdense region, then we will observe an "apparent acceleration", even when any form of dark energy is absent. In this paper, we present a "Minimal Void" scenario, i.e. a "void" with minimal underdensity contrast (of about −0.4) and radius (∼ 200 − 250 Mpc/h) that can, not only explain the supernovae data, but also be consistent with the 3-yr WMAP data. We also discuss consistency of our model with various other measurements, and in particular consistency with local measurements of the Hubble parameter. We also point out possible observable signatures.

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“…It can be rewritten thanks to the Bayes formula as 27) where p(Π) is the unconstrained PDF of Π, i.e. as provided by the assumptions of § 6.3.1.…”

Section: Ricci-lensing Covariancementioning

confidence: 99%

The theory of stochastic cosmological lensing

Fleury

Larena

Uzan

2015

J. Cosmol. Astropart. Phys.

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Abstract. On the scale of the light beams subtended by small sources, e.g. supernovae, matter cannot be accurately described as a fluid, which questions the applicability of standard cosmic lensing to those cases. In this article, we propose a new formalism to deal with small-scale lensing as a diffusion process: the Sachs and Jacobi equations governing the propagation of narrow light beams are treated as Langevin equations. We derive the associated FokkerPlanck-Kolmogorov equations, and use them to deduce general analytical results on the mean and dispersion of the angular distance. This formalism is applied to random Einstein-Straus Swiss-cheese models, allowing us to: (1) show an explicit example of the involved calculations; (2) check the validity of the method against both ray-tracing simulations and direct numerical integration of the Langevin equation. As a byproduct, we obtain a post-Kantowski-DyerRoeder approximation, accounting for the effect of tidal distortions on the angular distance, in excellent agreement with numerical results. Besides, the dispersion of the angular distance is correctly reproduced in some regimes.ArXiv ePrint: 1508.07903 arXiv:1508.07903v2 [gr-qc]

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The effect of large scale inhomogeneities on the luminosity distance

Cited by 87 publications

References 55 publications

Interpretation of the Hubble diagram in a nonhomogeneous universe

Interpretation of the Hubble diagram in a nonhomogeneous universe

Local void vs dark energy: confrontation with WMAP and type Ia supernovae

The theory of stochastic cosmological lensing

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