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In the present investigation we use observational data of $ f \sigma_ {8} $ to determine observational constraints in the plane $(\Omega_{m0},\sigma_{8})$ using two different methods: the growth factor parametrization and the numerical…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 A. M. Velásquez-Toribio , Júlio C. Fabris

Alternative cosmological models have been proposed to alleviate the tensions reported in the concordance cosmological model, or to explain the current accelerated phase of the universe. One way to distinguish between General Relativity and…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-11 Fernanda Oliveira , Felipe Avila , Armando Bernui , Alexander Bonilla , Rafael C. Nunes

Assuming a simple form for the growth index gamma(z) depending on two parameters gamma_0 = gamma(z=0) and gamma_1 = gamma'(z=0), we show that these parameters can be constrained using background expansion data. We explore systematically the…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Radouane Gannouji , David Polarski

We use current and future simulated data of the growth rate of large scale structure in combination with data from supernova, BAO, and CMB surface measurements, in order to put constraints on the growth index parameters. We use a recently…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Jason Dossett , Mustapha Ishak , Jacob Moldenhauer , Yungui Gong , Anzhong Wang

We perform here a global analysis of the growth index $\gamma$ behaviour from deep in the matter era till the far future. For a given cosmological model in GR or in modified gravity, the value of $\gamma(\Omega_{m})$ is unique when the…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 R. Calderon , D. Felbacq , R. Gannouji , D. Polarski , A. A. Starobinsky

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

The growth index $\gamma$ is a powerful trigger for detecting deviations from $\Lambda$CDM. However, its value is often determined by considering an asymptotic constant value that works for all redshift, or else following a chosen…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-26 Ziad Sakr , Jinglan Zheng

We study how the cosmological constraints from growth data are improved by including the measurements of bias from Dark Energy Survey (DES). In particular, we utilize the biasing properties of the DES Luminous Red Galaxies (LRGs) and the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Spyros Basilakos , Fotios K. Anagnostopoulos

We derive an analytical expression for the growth rate of matter density perturbations on the phantom brane (which is the normal branch of the Dvali-Gabadadze-Porrati model). This model is characterized by a phantomlike effective equation…

General Relativity and Quantum Cosmology · Physics 2018-09-20 Alexander Viznyuk , Satadru Bag , Yuri Shtanov , Varun Sahni

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

Many experiments in the near future will test dark energy through its effects on the linear growth of matter perturbations. In this paper we discuss the constraints that future large-scale redshift surveys can put on three different…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Cinzia Di Porto , Luca Amendola , Enzo Branchini

According to experimental data of SNe Ia (Supernovae type Ia), we will discuss in detial dynamics of the DGP model and introduce a simple parametrization of matter $\omega$, in order to analyze scenarios of the expanding universe and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 V. Q. Phong

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

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 have compiled a dataset consisting of 22 datapoints at a redshift range (0.15,3.8) which can be used to constrain the linear perturbation growth rate f=\frac{d\ln\delta}{d\ln a}. Five of these data-points constrain directly the growth…

Astrophysics · Physics 2008-11-26 S. Nesseris , L. Perivolaropoulos

The linear spline growth model (LSGM), which approximates complex patterns using at least two linear segments, is a popular tool for examining nonlinear change patterns. Among such models, the linear-linear piecewise change pattern is the…

Methodology · Statistics 2022-05-10 Jin Liu , Robert A. Perera , Le Kang , Robert M. Kirkpatrick , Roy T. Sabo

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

In this paper, we study a model which is composed by the cosmological constant and dark matter with nonzero equation of state parameter, which could be called as $\Lambda$wDM. In the synchronous gauge, we obtain the perturbation equations…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-01 Weiqiang Yang , Lixin Xu

We demonstrate that a wide range of viable f(R) parameterizations (including the Hu & Sawicki and the Starobinsky models) can be expressed as perturbations deviating from the LCDM Lagrangian. We constrain the deviation parameter b using a…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Spyros Basilakos , Savvas Nesseris , Leandros Perivolaropoulos

Recent observational analyses have revealed a significant tension in the growth index $\gamma$, which characterizes the growth rate of cosmic structures. Specifically, when treating $\gamma$ as a free parameter within $\Lambda$CDM…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-20 Luis A. Escamilla , Özgür Akarsu , Eleonora Di Valentino , Emre Özülker , J. Alberto Vazquez