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Given a class of dark energy models, constraints from one set of cosmic acceleration observables make predictions for other observables. Here we present the allowed ranges for the expansion rate H(z), distances D(z), and the linear growth…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-23 Michael J. Mortonson , Wayne Hu , Dragan Huterer

Combining measurements on the expansion history of the Universe and on the growth rate of cosmic structures is key to discriminate between alternative cosmological frameworks and to test gravity. Recently, Linder (2017) proposed a new…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-16 Michele Moresco , Federico Marulli

We demonstrate the scale dependence of the growth function of cosmological perturbations in dark energy models based on General Relativity. This scale dependence is more prominent on cosmological scales of $100h^{-1}Mpc$ or larger. We…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 James B. Dent , Sourish Dutta , Leandros Perivolaropoulos

The Lyman-$\alpha$ absorption spectrum associated with photons traversing the intergalactic medium allows us to probe the linear matter power spectrum down to relatively small distance scales. Finding ways of accurately evaluating…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-04 Keith R. Dienes , Fei Huang , Jeff Kost , Brooks Thomas , Hai-Bo Yu

Dark energy can be studied by its influence on the expansion of the Universe as well as on the growth history of the large-scale structure. In this paper, we follow the growth of the cosmic density field in early dark energy cosmologies by…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-22 Lukas Hollenstein , Domenico Sapone , Robert Crittenden , Bjoern Malte Schaefer

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

The question of the origin of the recent acceleration of the Universes expansion is still pending. What is making the situation even worst, it is impossible to distinguish the vast majority of the proposed models of the dynamical dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-20 Tomasz Denkiewicz

The Lambda-Cold Dark Matter (LCDM) model agrees with most of the cosmological observations, but has some hindrances from observed data at smaller scales such as galaxies. Recently, Berezhiani and Khoury (2015) proposed a new theory…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Shreya Banerjee , Sayantani Bera , David F. Mota

We compute the dark matter velocity dispersion tensor up to third order in perturbation theory using the Lagrangian formalism, revealing growing solutions at the third and higher orders. Our results are general and can be used for any other…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Alejandro Aviles

We derive the evolution equation of growth factor for the matter over-dense perturbation in $f(T)$ gravity. For instance, we investigate its behavior in power law model at small redshift and compare it to the prediction of $\Lambda$CDM and…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Rui Zheng , Qing-Guo Huang

The matter fluctuation parameter $\sigma_8$ is, by model construction, degenerate with the growth index $\gamma$. Here, we study the effect on the cosmological parameter constraints by treating each independently from one another,…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-11 Ziad Sakr

Reconstructed from lensing tomography, the evolution of the dark matter density field in the well-understood linear regime can provide model-independent constraints on the growth function of structure and the evolution of the dark energy…

Astrophysics · Physics 2008-11-26 Wayne Hu

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

Observations conducted over the last few decades show that the expansion of the Universe is accelerating. In the standard model of cosmology, this accelerated expansion is attributed to a dark energy in the form of a cosmological constant.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-22 Joseph Ryan

In quintessence models, the dark energy content of the universe is described by a slowly rolling scalar field whose pressure and energy density obey an equation of state of the form p=w $\rho$; w is in general a function of time such that…

Astrophysics · Physics 2009-11-07 M. Viel , S. Matarrese , Tom Theuns , D. Munshi , Yun Wang

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

In order to depict the transition from deceleration to acceleration expansion of the universe we use a power-law expansion scale factor, $a\sim t^{n_0+bt^m}$, with $n_0$, $b$ and $m$ three parameters determined by $H_0$, $q_0$ and $z_T$.…

Astrophysics · Physics 2007-05-23 Yi-Huan Wei

The accelerating expansion of our universe at present could be driven by an unknown energy component (Dark Energy) or a modification of general relativity (Modified Gravity). In this note we revisit the constraints on a phenomenological…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-03 Jun-Qing Xia

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

Constraints on the expansion history of the universe from measurements of cosmological distances make predictions for large-scale structure growth. Since these predictions depend on assumptions about dark energy evolution and spatial…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-21 Michael J. Mortonson
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