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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 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

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

We consider asymptotically stable scalar-tensor dark energy (DE) models for which the equation of state parameter $w_{DE}$ tends to zero in the past. The viable models are of the phantom type today, however this phantomness is milder than…

Astrophysics · Physics 2009-06-23 Radouane Gannouji , David Polarski

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

We propose a parametrization for the growth index of the linear matter perturbations, $\gamma(z)=\gamma_0+\frac{z}{1+z}\gamma_1$. The growth factor of the perturbations parameterized as $\Omega_m^{\gamma}$ is analyzed for both the $w$CDM…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Puxun Wu , Hongwei Yu , Xiangyun Fu

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

Measurements of the growth index $\gamma(z)$ provide a clue as to whether Einstein's field equations encompass gravity also on large cosmic scales, those where the expansion of the universe accelerates. We show that the information encoded…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Heinrich Steigerwald , Julien Bel , Christian Marinoni

Several experiments in the near future will test dark energy through its effects on the linear growth of matter perturbations. It is therefore important to find simple and at the same time general parametrizations of the linear growth rate.…

Astrophysics · Physics 2008-11-26 Cinzia Di Porto , Luca Amendola

We present the analytical solutions for the evolution of matter density perturbations, for a model with a constant dark energy equation of state $w$ but when the effects of the dark energy perturbations are properly taken into account. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-13 Savvas Nesseris , Domenico Sapone

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

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 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

We present numerical calculation of the evolution of a background space-time metric and sub-horizon matter density perturbations in viable $f(R)$ gravity models of present dark energy and cosmic acceleration. We found that viable models…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-25 Hayato Motohashi , Alexei A. Starobinsky , Jun'ichi Yokoyama

The growth rate of matter perturbations is computed in a magnetized environment for the LambdaCDM and wCDM paradigms. It is argued that the baryons do not necessarily follow into the dark matter potential wells after they are released from…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Massimo Giovannini

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

In this paper we investigate a simple parameterization scheme of the quintessence model given by Wetterich (2004). The crucial parameter of this model is the bending parameter $b$, which is related to the amount of dark energy in the early…

Astrophysics · Physics 2009-11-13 Sepehr Arbabi Bidgoli , M. Sadegh Movahed , Sohrab Rahvar

Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arises in the context of extra fields or modifications to General Relativity. A prevalent approach is to parameterize the expansion history through the equation…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-14 Mariana Jaber , Gustavo Arciniega , Luisa G. Jaime , Omar A. Rodríguez-López

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

Observations exploring the contemporary cosmic acceleration have sparked interest in dark energy models possessing equations of state with w < -1. We review how the cosmic expansion history of a Dvali-Gabadadze-Porrati (DGP) braneworld…

Astrophysics · Physics 2011-07-18 Arthur Lue , Glenn D. Starkman
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