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Related papers: A parametrization for the growth index of linear m…

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We propose two improved parameterized form for the growth index of the linear matter perturbations: (I) $\gamma(z)=\gamma_0+(\gamma_{\infty}-\gamma_0){z\over z+1}$ and (II) $\gamma(z)=\gamma_0+\gamma_1…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Jiliang Jing , Songbai Chen

We study the linear growth of matter perturbations in the DGP model with the growth index $\gamma$ as a function of redshift. At the linear approximation: $\gamma(z)\approx\gamma_0+\gamma_0^\prime z $, we find that, for…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Xiangyun Fu , Puxun Wu , Hongwei Yu

The growth rate of matter perturbations can be used to distinguish between different gravity theories and to distinguish between dark energy and modified gravity at cosmological scales as an explanation to the observed cosmic acceleration.…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-22 Mustapha Ishak , Jason Dossett

We consider the linear growth of matter perturbations in various dark energy (DE) models. We show the existence of a constraint valid at $z=0$ between the background and dark energy parameters and the matter perturbations growth parameters.…

Astrophysics · Physics 2008-11-26 David Polarski , Radouane Gannouji

We show that in clustering dark energy models the growth index of linear matter perturbations, $\gamma$, can be much lower than in $\Lambda$CDM or smooth quintessence models and present a strong variation with redshift. We find that the…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-08 Ronaldo C. Batista

In this study, we analyse constraints on the growth index of matter perturbations, $\gamma$, within the framework of $f(Q)$ gravity, using recent cosmological observations, at the background and the perturbation levels, including…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Dalale Mhamdi , Safae Dahmani , Amine Bouali , Imad El Bojaddaini , Taoufik Ouali

We place tight constraints on the growth index $\gamma$ by using the recent growth history results of 2dFGRS, SDSS-LRG, VIMOS-VLT deep Survey (VVDS) and {\em WiggleZ} datasets. In particular, we investigate several parametrizations of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Spyros Basilakos , Athina Pouri

The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining the cosmic acceleration. The growth rate is parametrized by the growth index…

Astrophysics · Physics 2009-01-08 Yungui Gong

We provide exact solutions to the cosmological matter perturbation equation in a homogeneous FLRW universe with a vacuum energy that can be parametrized by a constant equation of state parameter $w$ and a very accurate approximation for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Alicia Bueno Belloso , Juan García-Bellido , Domenico Sapone

The growth rate of matter perturbation and the expansion rate of the Universe can be used to distinguish modified gravity and dark energy models in explaining cosmic acceleration. We explore here the inclusion of spatial curvature into the…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Yungui Gong , Mustapha Ishak , Anzhong Wang

Two different realistic $F(R)$ modified gravity models are considered in the framework of the Friedmann-Lemetre-Robertson-Walker universe. The parameters of these two models are adjusted to reach coherence with the most recent and accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonio Jesús López-Revelles

Perturbative quantities, such as the growth rate ($f$) and index ($\gamma$), are powerful tools to distinguish different dark energy models or modified gravity theories even if they produce the same cosmic expansion history. In this work,…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 J. E. Gonzalez , J. S. Alcaniz , J. C. Carvalho

We study the growth of matter density perturbations delta_m for a number of viable f(R) gravity models that satisfy both cosmological and local gravity constraints, where the Lagrangian density f is a function of the Ricci scalar R. If the…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Shinji Tsujikawa , Radouane Gannouji , Bruno Moraes , David Polarski

In this paper, we study the growth index of matter density perturbations for the power law model in $f(T)$ gravity. Using the parametrization $\gamma(z)=\gamma_0+\gamma_1 {z\over 1+z}$ for the growth index, which approximates the real…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Xiangyun Fu , Puxun Wu , Hongwei Yu

We consider the linear growth of matter perturbations on low redshifts in some $f(R)$ dark energy (DE) models. We discuss the definition of dark energy (DE) in these models and show the differences with scalar-tensor DE models. For the…

Astrophysics · Physics 2014-11-18 R. Gannouji , B. Moraes , D. Polarski

In this study we investigate the growth index $\gamma_L$, which characterizes the growth of linear matter perturbations, while analysing different cosmological datasets. We compare the approaches implemented by two different patches of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-26 Enrico Specogna , Eleonora Di Valentino , Jackson Levi Said , Nhat-Minh Nguyen

We re-examine the growth index of the concordance $\Lambda$ cosmology in the light of the latest 6dF and {\em WiggleZ} data. In particular, we investigate five different models for the growth index $\gamma$, by comparing their cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Spyros Basilakos

We use the clustering properties of Luminous Red Galaxies (LRGs) and the growth rate data provided by the various galaxy surveys in order to constrain the growth index ($\gamma$) of the linear matter fluctuations. We perform a standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Athina Pouri , Spyros Basilakos , Manolis Plionis

In the literature, it was proposed that the growth index $\gamma$ is useful to distinguish the scenarios of dark energy and modified gravity. In the present work, we consider the constraints on the growth index $\gamma$ by using the latest…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-22 Zhao-Yu Yin , Hao Wei

It is well-known that an extremely accurate parametrization of the growth function of matter density perturbations in $\Lambda$CDM cosmology, with errors below $0.25 \%$, is given by $f(a)=\Omega_{m}^{\gamma} \,(a)$ with $\gamma \simeq…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Miguel Aparicio Resco , Antonio L. Maroto
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