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The backreaction term ${\cal Q}_\CD$ and the averaged spatial Ricci scalar $\average{\CR}$ in the spatially averaged inhomogeneous Universe can be used to combine into effective perfect fluid energy density $\varrho_{\rm eff}^{\CD}$ and…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-20 Yan-Hong Yao , Xin-He Meng

In this paper, we interpret the dark energy phenomenon as an averaged effect caused by small scale inhomogeneities of the universe with the use of the spatial averaged approach of Buchert. Two models are considered here, one of which…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-19 YanHong Yao , Xin-He Meng

Chevallier-Polarski-Linder (CPL) parametrization for the equation of state of dark energy in terms of cosmic redshift or scale factor have been frequently studied in the literature. In this study, we consider cosmic time based CPL…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Suresh Kumar

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

We examine the Chevallier-Polarski-Linder (CPL) parametrization, in the context of quintessence and barotropic dark energy models, to determine the subset of such models to which it can provide a good fit. The CPL parametrization gives the…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-12 Robert J. Scherrer

We test the robustness and flexibility of the Chevallier-Polarski-Linder (CPL) parameterization of the Dark Energy equation of state $w(z)=w_0+w_a \frac{z}{1+z}$ in recovering a four-parameter step-like fiducial model. We constrain the…

Astrophysics · Physics 2009-06-23 Sebastian Linden , Jean-Marc Virey

We consider the effect of inhomogeneities on the expansion of the Einstein-de Sitter universe. We find that the backreaction of linear scalar metric perturbations results in apparent dark energy with a mixture of equations of state between…

Astrophysics · Physics 2011-05-05 Syksy Rasanen

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

We explore the backreaction model based on the template metric proposed in Larena et al. (2008) constraining the matter density parameter $\Omega_m^{D_0}$ and the Dark Energy parameter $w$ with recent data. We provide constraints based on…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-25 Matteo Chiesa , Davide Maino , Elisabetta Majerotto

In order to scrutinize the nature of Dark Energy, many Equations of State have been proposed. In this context we examine four popular models (the Chevallier-Polarski-Linder (CPL) model, Jassal model, Barboza & Alcaniz model and Wetterich…

General Relativity and Quantum Cosmology · Physics 2017-01-05 Ehsan Sadri

Recent observations from the Dark Energy Spectroscopic Instrument (DESI) raise doubts about the standard cosmological model, $\Lambda$CDM, suggesting a preference for an inherently dynamical dark energy component. The…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-12 Mikel Artola , Ismael Ayuso , Ruth Lazkoz , Vincenzo Salzano

We show that the dark energy effects can be modeled by using an \emph{Ising perfect fluid} with network interactions, whose low redshift equation of state, i.e. $\omega_0$, becomes $\omega_0=-1$ as in the $\Lambda$CDM model. In our picture,…

High Energy Physics - Theory · Physics 2015-06-15 Orlando Luongo , Damiano Tommasini

Cosmological backreaction has been suggested as an explanation of dark energy and is heavily disputed since. We combine cosmological perturbation theory with Buchert's non-perturbative framework, calculate the relevant averaged observables…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nan Li , Dominik J. Schwarz

This thesis is mainly about 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. There are, broadly speaking, two distinct approaches. One is…

Astrophysics · Physics 2008-10-03 Valerio Marra

We consider an effective viscous pressure as the result of a backreaction of inhomogeneities within Buchert's formalism. The use of an effective metric with a time-dependent curvature radius allows us to calculate the luminosity distance of…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Rodrigo M. Barbosa , G. Eddy , I. Chirinos , Winfried Zimdahl , Oliver F. Piattella

This paper examines interacting dark energy models within the Chevallier-Polarski-Linder (CPL) parametrization, emphasizing both theoretical structure and observational viability. Two commonly adopted interaction terms are considered: $Q =…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 Gerald Neumann , Nelson Videla , Dorian Araya

In the present work we perform a systematic analysis of a new dark energy parametrization and its various corrections at first and higher orders around the presence epoch $z=0$, where the first order correction of this dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Supriya Pan , Weiqiang Yang , Andronikos Paliathanasis

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

The measurements of the cosmic microwave background (CMB) have played a significant role in understanding the nature of dark energy. In this article, we investigate the dynamics of the dark energy equation of state, utilizing high-precision…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-23 Mahdi Najafi , Supriya Pan , Eleonora Di Valentino , Javad T. Firouzjaee

We show that using a Taylor expansion for the dark energy equation-of-state parameter and limiting it to the zeroth and first-order terms, i.e., the so-called Chevallier-Polarski-Linder (CPL) parametrization, instead of allowing for…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-31 Savvas Nesseris , Yashar Akrami , Glenn D. Starkman
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