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Title: Correlation function of the luminosity distances

Abstract

We present the correlation function of the luminosity distances in a flat ΛCDM universe. Decomposing the luminosity distance fluctuation into the velocity, the gravitational potential, and the lensing contributions in linear perturbation theory, we study their individual contributions to the correlation function. The lensing contribution is important at large redshift ( z ∼> 0.5) but only for small angular separation (θ ∼< 3°), while the velocity contribution dominates over the other contributions at low redshift or at larger separation. However, the gravitational potential contribution is always subdominant at all scale, if the correct gauge-invariant expression is used. The correlation function of the luminosity distances depends significantly on the matter content, especially for the lensing contribution, thus providing a novel tool of estimating cosmological parameters.

Authors:
;  [1]
  1. Center for Theoretical Astrophysics and Cosmology, Institute for Computational Science, University of Zürich, Winterthurerstrasse 190, CH-8057, Zürich (Switzerland)
Publication Date:
OSTI Identifier:
22667685
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 09; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CORRELATION FUNCTIONS; CORRELATIONS; DISTANCE; DISTURBANCES; FLUCTUATIONS; GAUGE INVARIANCE; GRAVITATIONAL LENSES; LUMINOSITY; PERTURBATION THEORY; RED SHIFT; UNIVERSE; VELOCITY

Citation Formats

Biern, Sang Gyu, and Yoo, Jaiyul, E-mail: sgbiern@physik.uzh.ch, E-mail: jyoo@physik.uzh.ch. Correlation function of the luminosity distances. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/09/026.
Biern, Sang Gyu, & Yoo, Jaiyul, E-mail: sgbiern@physik.uzh.ch, E-mail: jyoo@physik.uzh.ch. Correlation function of the luminosity distances. United States. doi:10.1088/1475-7516/2017/09/026.
Biern, Sang Gyu, and Yoo, Jaiyul, E-mail: sgbiern@physik.uzh.ch, E-mail: jyoo@physik.uzh.ch. Fri . "Correlation function of the luminosity distances". United States. doi:10.1088/1475-7516/2017/09/026.
@article{osti_22667685,
title = {Correlation function of the luminosity distances},
author = {Biern, Sang Gyu and Yoo, Jaiyul, E-mail: sgbiern@physik.uzh.ch, E-mail: jyoo@physik.uzh.ch},
abstractNote = {We present the correlation function of the luminosity distances in a flat ΛCDM universe. Decomposing the luminosity distance fluctuation into the velocity, the gravitational potential, and the lensing contributions in linear perturbation theory, we study their individual contributions to the correlation function. The lensing contribution is important at large redshift ( z ∼> 0.5) but only for small angular separation (θ ∼< 3°), while the velocity contribution dominates over the other contributions at low redshift or at larger separation. However, the gravitational potential contribution is always subdominant at all scale, if the correct gauge-invariant expression is used. The correlation function of the luminosity distances depends significantly on the matter content, especially for the lensing contribution, thus providing a novel tool of estimating cosmological parameters.},
doi = {10.1088/1475-7516/2017/09/026},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 09,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}