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Symbolic expressions for cosmic backreaction and mean redshift drift in a range of 2-region models in terms of average quantities are presented. The demonstration that these expressions can be obtained constitutes the opening of a new…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-26 S. M. Koksbang

In standard perturbation approaches and N-body simulations, inhomogeneities are described to evolve on a predefined background cosmology, commonly taken as the homogeneous-isotropic solutions of Einstein's field equations…

General Relativity and Quantum Cosmology · Physics 2012-05-11 Xavier Roy , Thomas Buchert

In the covariant averaging scheme of macroscopic gravity, the process of averaging breaks the metricity of geometry. We reinterpret the back-reaction within macroscopic gravity in terms of the non-metricity of averaged geometry. This…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Anish Agashe , Sai Madhav Modumudi

This paper presents a general averaging procedure for a set of observers which are tilted with respect to the cosmological matter fluid. After giving the full set of equations describing the local dynamics, we define the averaging procedure…

General Relativity and Quantum Cosmology · Physics 2009-04-22 J. Larena

The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We compute the luminosity distance-redshift relation in a perturbed flat matter-dominated Universe, taking into account the presence of…

Astrophysics · Physics 2009-11-10 Enrico Barausse , Sabino Matarrese , Antonio Riotto

We provide an analytical estimate of the effect of a spherical inhomogeneity on light beams that travel through it. We model the interior of the inhomogeneity in terms of the Lemaitre-Tolman-Bondi metric. We assume that the beam source is…

Astrophysics · Physics 2009-06-23 N. Brouzakis , N. Tetradis

In the recent preprint arXiv:2604.07244v1, the authors introduce a novel combination of redshift, distance, and expansion rate observables for constraining cosmic backreaction. The current work presents a first application of the method,…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 S. M. Koksbang

Forthcoming surveys will extend the understanding of cosmological large scale structures up to unprecedented redshift. According to this perspective, we present a fully relativistic framework to evaluate the impact of stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-04 Giuseppe Fanizza , Bartolomeo Fiorini , Giovanni Marozzi

We investigate the effect of backreaction due to inhomogeneities on the evolution of the present universe by considering a two-scale model within the Buchert framework. Taking the observed present acceleration of the universe as an…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-21 Nilok Bose , A. S. Majumdar

The matter bounce scenario allows for a sizable parameter space where cosmological fluctuations originally exited the Hubble radius when the background energy density was small. In this scenario and its extended versions, the low energy…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-02 Yi-Fu Cai , Francis Duplessis , Damien A. Easson , Dong-Gang Wang

The large scale structure bispectrum in the squeezed limit couples large with small scales. Since relativity is important at large scales and non-linear loop corrections are important at small scales, the proper calculation of the observed…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Lina Castiblanco , Radouane Gannouji , Jorge Noreña , Clément Stahl

There is an ongoing debate in the literature concerning the effects of averaging out inhomogeneities (``backreaction'') in cosmology. In particular, some simple models of structure formation studied in the literature seem to indicate that…

Astrophysics · Physics 2009-08-12 Aseem Paranjape

An important open question in cosmology is the degree to which the Friedmann-Lemaitre-Robertson-Walker (FLRW) solutions of Einstein's equations are able to model the large-scale behaviour of the locally inhomogeneous observable universe. We…

General Relativity and Quantum Cosmology · Physics 2013-08-29 Timothy Clifton , Kjell Rosquist , Reza Tavakol

We study the effect of shear on the cosmological backreaction in the context of matching voids and walls together using the exact inhomogeneous Lemaitre-Tolman-Bondi solution. Generalizing JCAP 1010 (2010) 021, we allow the size of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Maria Mattsson , Teppo Mattsson

We show that at second order, ensemble averages of observables and directional averages do not commute due to gravitational lensing -- observing the same thing in many directions over the sky is not the same as taking an ensemble average.…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-17 Camille Bonvin , Chris Clarkson , Ruth Durrer , Roy Maartens , Obinna Umeh

Understanding the expansion of the Universe remains a profound challenge in fundamental physics. The complexity of solving General Relativity equations in the presence of intricate, inhomogeneous flows has compelled cosmological models to…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-18 P. Tremblin , G. Chabrier

The universe is smooth on large scales but very inhomogeneous on small scales. Why is the spacetime on large scales modeled to a good approximation by the Friedmann equations? Are we sure that small-scale non-linearities do not induce a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Daniel Baumann , Alberto Nicolis , Leonardo Senatore , Matias Zaldarriaga

If general relativity (GR) describes the expansion of the Universe, the observed cosmic acceleration implies the existence of a `dark energy'. However, while the Universe is on average homogeneous on large scales, it is inhomogeneous on…

Astrophysics · Physics 2008-11-26 Aseem Paranjape , T. P. Singh

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

I consider some of the issues we face in trying to understand dark energy. Huge fluctuations in the unknown dark energy equation of state can be hidden in distance data, so I argue that model-independent tests which signal if the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Chris Clarkson