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We present constraints on Horndeski gravity from a combined analysis of cosmic shear, galaxy-galaxy lensing and galaxy clustering from $450\,\mathrm{deg}^2$ of the Kilo-Degree Survey (KiDS) and the Galaxy And Mass Assembly (GAMA) survey.…

We present a simple fitting formula for the scale-dependent growth rate of Hu-Sawicki model in $f(R)$ modified gravity. We compare the accuracy of the fitting function against numerical results and report achieving a sub-percent maximum…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Nareg Mirzatuny , Elena Pierpaoli

Phenomenological functions $\Sigma$ and $\mu$, also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$, are commonly used to parameterize modifications of the growth of large-scale structure in alternative theories of gravity. We study the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Simone Peirone , Kazuya Koyama , Levon Pogosian , Marco Raveri , Alessandra Silvestri

We use growth of structure data to constrain the effective field theory of dark energy. Considering as case study Horndeski theories with the speed of gravitational waves equal to that of light, we show how constraints on the free…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-14 Louis Perenon , Julien Bel , Roy Maartens , Alvaro de la Cruz-Dombriz

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 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

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

This paper develops a renormalized perturbation theory framework for nonlinear structure formation in a broad class of modified gravity models that exhibit Vainshtein screening, with a focus on a viable subclass of Horndeski theories. We…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Luca Amendola , Carla Bernal , Radouane Gannouji

The key probes of the growth of large-scale structure are its rate $f$ and amplitude $\sigma_8$. Redshift space distortions in the galaxy power spectrum allow us to measure only the combination $f\sigma_8$, which can be used to constrain…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Louis Perenon , Stéphane Ilić , Roy Maartens , Alvaro de la Cruz-Dombriz

Gravitational waves (GW) are generally affected by modification of a gravity theory during propagation in cosmological distance. We numerically perform a quantitative analysis on Horndeski theory at cosmological scale to constrain the…

General Relativity and Quantum Cosmology · Physics 2018-05-28 Shun Arai , Atsushi Nishizawa

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

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 effects of Horndeski models of dark energy on the observables of the large-scale structure in the late time universe. A novel classification into {\it Late dark energy}, {\it Early dark energy} and {\it Early modified gravity}…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-10 Louis Perenon , Christian Marinoni , Federico Piazza

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

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

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 consider the potential for line intensity mapping (LIM) of the rotational CO(1-0), CO(2-1) and CO(3-2) transitions to detect deviations from General Relativity from $0 < z < 3$ within the framework of a very general class of modified…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Bryan R. Scott , Kirit S. Karkare , Simeon Bird

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

The observed accelerated expansion of the Universe may be explained by dark energy or the breakdown of general relativity (GR) on cosmological scales. When the latter case, a modified gravity scenario, is considered, it is often assumed…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Jiro Matsumoto , Teppei Okumura , Misao Sasaki

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
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