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We derive the analytic formula of the growth index for $f(R)$ dark energy model where the effect on the growth of matter density perturbation $\delta_m$ from modified gravity (MG) is encoded in the effective Newton coupling constant $G_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Qing-Guo Huang

We investigate the growth index parameter \gamma and the time variation of the gravitational constant G_{eff} by using the currently available growth function f(z) data at different redshifts, with and without scaling to the fiducial…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-05 Seokcheon Lee

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

We present evidence for a suppressed growth rate of large-scale structure during the dark-energy dominated era. Modeling the growth rate of perturbations with the ``growth index'' $\gamma$, we find that current cosmological data strongly…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-18 Nhat-Minh Nguyen , Dragan Huterer , Yuewei Wen

We compare observational data of growth rate with the prediction by Galileon theory. For the same value of the energy density parameter $\Omega_{m,0}$, the growth rate in Galileon models is enhanced compared with the $\Lambda$CDM case, due…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Koichi Hirano , Zen Komiya

Cosmic growth of large scale structure probes the entire history of cosmic expansion and gravitational coupling. To get a clear picture of the effects of modification of gravity we consider a deviation in the coupling strength (effective…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-19 Mikhail Denissenya , Eric V. Linder

To better distinguish the nature of $H_0$ and $S_8$ tensions, it is necessary to separate the effects of expansion and the growth of structure. The growth index $\gamma$ was identified as the most important parameter that characterizes the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-01 Cemsinan Deliduman , Furkan Şakir Dilsiz , Selinay Sude Binici

We studied the cosmological constraints on the Galileon gravity obtained from observational data of the growth rate of matter density perturbations, the supernovae Ia (SN Ia), the cosmic microwave background (CMB), and baryon acoustic…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-03 Koichi Hirano , Zen Komiya , Hisato Shirai

The accelerated cosmic expansion could be due to dark energy within general relativity (GR), or modified gravity. It is of interest to differentiate between them, by using both the expansion history and the growth history. In the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-07 Zhao-Yu Yin , Hao Wei

We construct an updated and extended compilation of growth rate data consisting of 34 points and including corrections for model dependence. In order to maximize the independence of the datapoints we also construct a subsample of this…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Savvas Nesseris , George Pantazis , Leandros Perivolaropoulos

The gravitational growth index formalism provides a model independent way to look for deviations from general relativity by testing dark energy physics distinct from its effects on the cosmic expansion history. Here we extend the approach…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Eric V. Linder

Assuming a minimal $\Lambda$CDM cosmology with three massive neutrinos, the joint analysis of Planck cosmic microwave background data, DESI baryon acoustic oscillations, and distance moduli measurements of Type Ia supernovae from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-02 William Giarè , Olga Mena , Enrico Specogna , Eleonora Di Valentino

The growth index $\gamma_L$ was proposed to investigate the possible deviation from the standard $\Lambda$CDM model and Einstein's gravity theory in a dynamical perspective. Recently, thanks to the measurement of the cosmic growth rate via…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-01 Lixin Xu

The concept of a rapidly sign-switching cosmological constant, interpreted as a mirror AdS-dS transition in the late universe and known as the $\Lambda_{\rm s}$CDM, has significantly improved the fit to observational data, offering a…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-31 Mateus S. Souza , Ana M. Barcelos , Rafael C. Nunes , Özgür Akarsu , Suresh Kumar

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

The growth index $\gamma$ is an interesting tool to assess the phenomenology of dark energy (DE) models, in particular of those beyond general relativity (GR). We investigate the possibility for DE models to allow for a constant $\gamma$…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-31 David Polarski , Alexei A. Starobinsky , Hector Giacomini

Recently, a novel Einstein-Gauss-Bonnet gravity in four dimensions has been introduced [Phys. Rev. Lett. 124 (2020) 081301]. We will investigate cosmological consequences of this model in details. We will consider linear matter density…

General Relativity and Quantum Cosmology · Physics 2020-10-05 Zahra Haghani

A promising way to test the physics of the accelerated expansion of the Universe is by studying the growth rate of matter fluctuations, which can be parametrized by the matter energy density parameter to the power $\gamma$, the so-called…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Ícaro B. S. Cortês , Ronaldo C. Batista

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

The growth index of matter fluctuations is computed for ten distinct accelerating cosmological models and confronted to the latest growth rate data via a two-step process. First, we implement a joint statistical analysis in order to place…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-03 Spyros Basilakos , Savvas Nesseris
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