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The Universe is not completely homogeneous. Even if it is sufficiently so on large scales, it is very inhomogeneous at small scales, and this has an effect on light propagation, so that the distance as a function of redshift, which in many…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Phillip Helbig

Models of inhomogeneous universes constructed with exact solutions of Einstein's General Relativity have been proposed in the literature with the aim of reproducing the cosmological data without any need for a dark energy component. Besides…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-16 Priti Mishra , Marie-Noëlle Célérier , Tejinder P. Singh

We study effects of inhomogeneities on distance measures in an exact relativistic Swiss-cheese model of the universe, focusing on the distance modulus. The model has LCDM background dynamics, and the `holes' are non-symmetric structures…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-07 Austin Peel , M. A. Troxel , Mustapha Ishak

The redshift and redshift-distance relation in different Einstein-Straus models are considered. Specifically, the mean of these observables along 1000 light rays in different specific models are compared with predictions based on the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 S. M. Koksbang

Photon geodesics are calculated in a swiss-cheese model, where the cheese is made of the usual Friedmann-Robertson-Walker solution and the holes are constructed from a Lemaitre-Tolman-Bondi solution of Einstein's equations. The observables…

Astrophysics · Physics 2008-11-26 Valerio Marra , Edward W. Kolb , Sabino Matarrese , Antonio Riotto

We study the effect of inhomogeneities on light propagation. The Sachs equations are solved numerically in the Swiss-Cheese models with inhomogeneities modelled by the Lemaitre-Tolman solutions. Our results imply that, within the models we…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-12 Sebastian J. Szybka

Recently there have been suggestions that the Type Ia supernova data can be explained using only general relativity and cold dark matter with no dark energy. In "Swiss cheese" models of the Universe, the standard Friedmann-Robertson-Walker…

Astrophysics · Physics 2008-11-26 R. Ali Vanderveld , Eanna E. Flanagan , Ira Wasserman

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

We use different particular classes of axially symmetric Szekeres Swiss-cheese models for the study of the apparent dimming of the supernovae of type Ia. We compare the results with those obtained in the corresponding Lemaitre-Tolman…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-03 Krzysztof Bolejko , Marie-Noëlle Célérier

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

Exact inhomogeneous solutions of Einstein's equations have been used in the literature to build models reproducing the cosmological data without dark energy. However, owing to the degrees of freedom pertaining to these models, it is…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-29 Priti Mishra , Marie-Noëlle Célérier , Tejinder P. Singh

It is shown with several concrete examples that the Dyer-Roeder approximation is valid in spacetimes which fulfill the condition that fluctuations in the expansion rate along a light ray locally cancels with the shear contribution to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-06 S. M. Koksbang

We study an exact swiss-cheese model of the Universe, where inhomogeneous LTB patches are embedded in a flat FLRW background, in order to see how observations of distant sources are affected. We find negligible integrated effect, suppressed…

Astrophysics · Physics 2014-10-13 Tirthabir Biswas , Alessio Notari

It has been argued that the Swiss-Cheese cosmology can mimic Dark Energy, when it comes to the observed luminosity distance-redshift relation. Besides the fact that this effect tends to disappear on average over random directions, we show…

Cosmology and Nongalactic Astrophysics · Physics 2009-06-08 Wessel Valkenburg

One of the most important discoveries in cosmology is the accelerated expansion of the Universe. Yet, the accelerated expansion has only ever been measured {\em in}directly. Redshift drift offers a direct observational probe of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 David Rønne Sallingboe , Sofie Marie Koksbang

By considering the quantum Oppenheimer-Snyder model in loop quantum cosmology, a new quantum black hole model whose metric tensor is a suitably deformed Schwarzschild one is derived. The quantum effects imply a lower bound on the mass of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Jerzy Lewandowski , Yongge Ma , Jinsong Yang , Cong Zhang

This paper presents the application of the Szekeres Swiss Cheese model to the analysis of observations of the cosmic microwave background (CMB) radiation. The impact of inhomogeneous matter distribution on the CMB observations is in most…

Astrophysics · Physics 2009-08-05 Krzysztof Bolejko

A method for constructing statistically homogeneous and isotropic perfect fluid universe models with significant cosmic backreaction is proposed. The method is illustrated using a simplified model constructed as a Swiss-cheese model with…

General Relativity and Quantum Cosmology · Physics 2019-08-22 S. M. Koksbang

By means of a toy Swiss-cheese cosmological model we will discuss how to set up and carry out in a physically meaningful way the idea of back-reaction, according to which dark energy could be an effective source. We will follow two distinct…

Astrophysics · Physics 2008-05-29 Valerio Marra

Using numerical ray tracing, the paper studies how the average distance modulus in an inhomogeneous universe differs from its homogeneous counterpart. The averaging is over all directions from a fixed observer not over all possible…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-19 Valentin Kostov
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