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We provide a simple discussion of our results on the backreaction effects of density inhomogeneities in cosmology, without mentioning one-parameter families or weak limits. Emphasis is placed on the manner in which "averaging" is done and…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Stephen R. Green , Robert M. Wald

Structure occurs over a vast range of scales in the universe. Our large-scale cosmological models are coarse-grained representations of what exists, which have much less structure than there really is. An important problem for cosmology is…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-05 Chris Clarkson , George Ellis , Julien Larena , Obinna Umeh

The effective evolution of an inhomogeneous universe model in any theory of gravitation may be described in terms of spatially averaged variables. In Einstein's theory, restricting attention to scalar variables, this evolution can be…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Thomas Buchert

Cosmological backreaction corresponds to the effect of inhomogeneities of structure on the global expansion of the Universe. The main question surrounding this phenomenon is whether or not it is important enough to lead to measurable…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Quentin Vigneron

A refined version of a recently introduced method for analysing the dynamics of an inhomogeneous irrotational dust universe is presented. A fully non-perturbative numerical computation of the time dependence of volume in this framework…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-01 Harald Skarke

The predictions of homogeneous and isotropic cosmological models with ordinary matter and gravity are off by a factor of two in the late universe. One possible explanation is the known breakdown of homogeneity and isotropy due to the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Syksy Rasanen

The effects of local inhomogeneities on low redshift $H_0$ determinations are studied by estimating the redshift-distance relation of mock sources in N-body simulations. The results are compared to those obtained using the standard approach…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-04 I. Odderskov , S. M. Koksbang , S. Hannestad

A system of effective Einstein equations for spatially averaged scalar variables of inhomogeneous cosmological models can be solved by providing a `cosmic equation of state'. Recent efforts to explain Dark Energy focus on `backreaction…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thomas Buchert

Even in a universe that is homogeneous on large scales, local density fluctuations can imprint a systematic signature on the cosmological inferences we make from distant sources. One example is the effect of a local under-density on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Benjamin Sinclair , Tamara M. Davis , Troels Haugbolle

We investigate the effect of backreaction due to inhomogeneities on the evolution of the present universe within the Buchert framework. Our analysis shows how backreaction from inhomogeneities in the presence of the cosmic event horizon…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-13 Nilok Bose , A. S. Majumdar

We calculate the systematic inhomogeneity-induced correction to the cosmological constant that one would infer from an analysis of the luminosities and redshifts of Type Ia supernovae, assuming a homogeneous universe. The calculation…

Astrophysics · Physics 2008-12-18 R. Ali Vanderveld , Eanna E. Flanagan , Ira Wasserman

We introduce the concept of back-reaction in relativistic cosmological modeling. Roughly speaking, this can be thought of as the difference between the large-scale behaviour of an inhomogeneous cosmological solution of Einstein's equations,…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Timothy Clifton

The Universe is not isotropic or spatially homogeneous on local scales. The averaging of local inhomogeneities in general relativity can lead to significant dynamical effects on the evolution of the Universe, and even if the effects are at…

Astrophysics · Physics 2008-12-25 A. A. Coley

We construct a three-dimensional, fully relativistic numerical model of a universe filled with an inhomogeneous pressureless fluid, starting from initial data that represent a perturbation of the Einstein-de Sitter model. We then measure…

General Relativity and Quantum Cosmology · Physics 2016-10-11 Eloisa Bentivegna , Marco Bruni

Astronomical observations reveal hierarchical structures in the Universe, from galaxies, groups of galaxies, clusters and superclusters, to filaments and voids. On the largest scales it seems that some kind of statistical homogeneity can be…

General Relativity and Quantum Cosmology · Physics 2017-05-23 Krzysztof Bolejko , Mikołaj Korzyński

We investigate the effect of backreaction due to inhomogeneities on the evolution of the present Universe by considering the Universe to be partitioned into multiple domains within the Buchert framework. Taking the observed present…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-19 Nilok Bose , A. S. Majumdar

We use numerical relativity to study the violent preheating era at the end of inflation. This epoch can result in highly nonlinear fluctuations in density and gravitational potential which feed back onto the averaged expansion rate -- an…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Ryn Grutkoski , Hayley J. Macpherson , John T. Giblin , Joshua Frieman

We formulate a model of spacetime with inhomogeneous matter distribution in multiple domains. In the context of the backreaction framework using Buchert's averaging procedure, we evaluate the effect of backreaction due to the…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Ashadul Halder , Shashank Shekhar Pandey , A. S. Majumdar

The cosmological backreaction arises when one directly averages the Einstein equations to recover an effective Robertson-Walker cosmology, rather than assuming a background a priori. While usually discussed in the context of dark energy,…

General Relativity and Quantum Cosmology · Physics 2009-09-10 Iain A. Brown , Georg Robbers , Juliane Behrend

In order to quantitatively test the ability of averaged inhomogeneous cosmologies to correctly describe observations of the large scale properties of the Universe, we introduce a smoothed template metric corresponding to a constant spatial…