TY - JOUR

T1 - The magnitude-redshift relation in a realistic inhomogeneous universe

AU - Hada, Ryuichiro

AU - Futamase, Toshifumi

N1 - Publisher Copyright:
© 2014 IOP Publishing Ltd and Sissa Medialab srl.

PY - 2014/12/19

Y1 - 2014/12/19

N2 - The light rays from a source are subject to a local inhomogeneous geometry generated by inhomogeneous matter distribution as well as the existence of collapsed objects. In this paper we investigate the effect of inhomogeneities and the existence of collapsed objects on the propagation of light rays and evaluate changes in the magnitude-redshift relation from the standard relationship found in a homogeneous FRW universe. We give the expression of the correlation function and the variance for the perturbation of apparent magnitude, and calculate it numerically by using the non-linear matter power spectrum. We use the lognormal probability distribution function for the density contrast and spherical collapse model to truncate the power spectrum in order to estimate the blocking effect by collapsed objects. We find that the uncertainties in Ωm is ∼ 0.02, and that of w is ∼ 0.04. We also discuss a possible method to extract these effects from real data which contains intrinsic ambiguities associated with the absolute magnitude.

AB - The light rays from a source are subject to a local inhomogeneous geometry generated by inhomogeneous matter distribution as well as the existence of collapsed objects. In this paper we investigate the effect of inhomogeneities and the existence of collapsed objects on the propagation of light rays and evaluate changes in the magnitude-redshift relation from the standard relationship found in a homogeneous FRW universe. We give the expression of the correlation function and the variance for the perturbation of apparent magnitude, and calculate it numerically by using the non-linear matter power spectrum. We use the lognormal probability distribution function for the density contrast and spherical collapse model to truncate the power spectrum in order to estimate the blocking effect by collapsed objects. We find that the uncertainties in Ωm is ∼ 0.02, and that of w is ∼ 0.04. We also discuss a possible method to extract these effects from real data which contains intrinsic ambiguities associated with the absolute magnitude.

KW - Cosmological parameters from LSS

KW - Power spectrum

KW - Supernova type Ia - standard candles

KW - Weak gravitational lensing

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U2 - 10.1088/1475-7516/2014/12/042

DO - 10.1088/1475-7516/2014/12/042

M3 - Article

AN - SCOPUS:84941646414

VL - 2014

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 12

M1 - A46

ER -