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The relation between angular diameter distance and redshift in a spherically symmetric dust-shell universe is studied. This model has large inhomogeneities of matter distribution on small scales. We have discovered that the relation agrees…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norimasa Sugiura , Ken-ichi Nakao , Tomohiro Harada

The relation between the angular diameter distance and redshift in a spherically symmetric dust-shell universe is studied. We have discovered that the relation agrees with that of an appropriate Friedmann-Lemaitre (FL) model if we set a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norimasa Sugiura , Ken-ichi Nakao , Tomohiro Harada

Solving null-geodesic equations, behavior of angular diameter distances is studied in inhomogeneous cosmological models, which are given by performing N-body simulations with the CDM spectrum. The distances depend on the separation angle of…

Astrophysics · Physics 2009-10-30 Kenji Tomita

We derive the redshift and the angular diameter distance in rotationless dust universes which are statistically homogeneous and isotropic, but have otherwise arbitrary geometry. The calculation from first principles shows that the…

Astrophysics · Physics 2014-11-18 Syksy Rasanen

Motivated by the dawn of precision cosmology and the wealth of forthcoming high precision and volume galaxy surveys, in this paper we study the effects of inhomogeneities on light propagation in a flat \Lambda CDM background. To this end we…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Nikolai Meures , Marco Bruni

Distance relations in a locally inhomogeneous universe are expected to behave like the Dyer-Roeder solution on small angular scales and the Friedmann-Robertson-Walker solution on large angular scales. Within a simple compact clump model the…

Astrophysics · Physics 2009-10-30 Eric V. Linder

Recent observations indicate that the Universe is not transparent but partially opaque due to absorption of light by ambient cosmic dust. This implies that the Friedmann equations valid for the transparent universe must be modified for the…

General Physics · Physics 2022-06-06 Václav Vavryčuk

We consider the effects of large structures in the Universe on the Hubble diagram. This problem is treated non-linearly by considering a Swiss Cheese model of the Universe in which under-dense voids are represented as negatively curved…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Timothy Clifton , Joe Zuntz

We consider the effect on the propagation of light of inhomogeneities with sizes of order 10 Mpc or larger. The Universe is approximated through a variation of the Swiss-cheese model. The spherical inhomogeneities are void-like, with…

Astrophysics · Physics 2010-02-17 Nikolaos Brouzakis , Nikolaos Tetradis , Eleftheria Tzavara

We discuss a model for a universe with discrete matter content instead of the continuous perfect fluid taken in FRW models. We show how the redshift in such a universe deviates from the corresponding one in an FRW cosmology. This…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Mohamad Shalaby

We study the form of the luminosity distance as a function of redshift in the presence of large scale inhomogeneities, with sizes of order 10 Mpc or larger. We approximate the Universe through the Swiss-cheese model, with each spherical…

Astrophysics · Physics 2010-10-27 N. Brouzakis , N. Tetradis , E. Tzavara

In this article, we continue our investigation on how the electromagnetic waves propagate in the Friedman-Lemaitre-Robertson-Walker spacetime. Unlike the standard approach, which relies on null geodesics and geometric optics approximation,…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Denitsa Staicova , Michail Stoilov

We consider a spacetime consisting of an empty void separated from an almost Friedmann-Lema\^\i tre-Robertson-Walker (FLRW) dust universe by a spherically symmetric, slowly rotating shell which is comoving with the cosmic dust. We treat in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tomas Dolezel , Jiri Bicak , Nathalie Deruelle

We use high-resolution N-body simulations, combined with a halo occupation model of galaxy bias, to investigate voids in the galaxy distribution. Our goal is to address the 'void phenomenon' of Peebles (2001), which presents the observed…

Astrophysics · Physics 2009-06-23 Jeremy L. Tinker , Charlie Conroy

We study the distance-redshift relation in a universe filled with point particles, and discuss what the universe looks like when we make the number of particles N very large, while fixing the averaged mass density. Using the Raychaudhuri…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Norimasa Sugiura

Cosmologies that match in a volume averaged sense need not generally have the same light propagation behaviors. In particular a universe with inhomogeneity may not demonstrate the Friedmann-Robertson-Walker distance-redshift relation even…

Astrophysics · Physics 2007-05-23 Eric V. Linder

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…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-24 Ryuichiro Hada , Toshifumi Futamase

On small scales the observable Universe is highly inhomogeneous, with galaxies and clusters forming a complex web of voids and filaments. The optical properties of such configurations can be quite different from the perfectly smooth…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Viraj A. A. Sanghai , Pierre Fleury , Timothy Clifton

Large-scale structure of Universe includes galaxy clusters connected by filaments. Voids occupy the rest of cosmic volume. The search of any dependencities in filament structure can give answer to more general questions about origin of…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-09 V. V. Voitsekhovskiy , A. V. Tugay

Light propagation in cosmology is usually studied in the geometrical optics approximation which requires the spacetime curvature to be much smaller than the light wavenumber. However, for non-fuzzy particle dark matter the curvature is…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 Sofie Marie Koksbang , Syksy Rasanen
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