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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

We investigate the growth of matter fluctuations in holographic dark energy cosmologies. First we use an overall statistical analysis involving the latest observational data in order to place constraints on the cosmological parameters. Then…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Ahmad Mehrabi , Spyros Basilakos , Mohammad Malekjani , Zahra Davari

Current cosmological tensions show that it is crucial to test the predictions from the canonical $\Lambda$CDM paradigm at different cosmic times. One very appealing test of structure formation in the universe is the growth rate of structure…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-27 Deng Wang , Olga Mena

We investigate deviations from $\Lambda$CDM by independently parameterizing modifications in the background evolution and the growth of structures. The background is characterized by two parameters, $A$ and $B$, which reduce to…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Shibendu Gupta Choudhury , Purba Mukherjee , Anjan Ananda Sen

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

Measurements of the linear growth factor $D$ at different redshifts $z$ are key to distinguish among cosmological models. One can estimate the derivative $dD(z)/d\ln(1+z)$ from redshift space measurements of the 3D anisotropic galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Kai Hoffmann , Julien Bel , Enrique Gaztanaga , Martin Crocce , Pablo Fosalba , Francisco J. Castander

We investigate the redshift evolution of the matter density parameter, $\Omega_m(z)$, using galaxy cluster gas mass fraction measurements combined with cosmic chronometer $H(z)$ data and type Ia supernova luminosity distances. Our approach…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 R. F. L. Holanda , J. F. Jesus , Z. C. Santana , R. C. Nunes

We propose and numerically validate a new fitting formula that is sufficiently accurate to model the growth of structure in Horndeski theories of modified gravity for upcoming Stage IV and V large-scale structure surveys. Based on an…

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

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

We study the growth of linear perturbations induced by a generic causal scaling source as a function of the cosmological parameters $h$, $\Omega^m_0$ and $\Omega^\Lambda_0$. We show that for wavenumbers $k \gsim 0.01 h/Mpc$ the spectrum of…

Astrophysics · Physics 2009-10-31 P. P. Avelino , J. P. M. de Carvalho

We use measurements from the Planck satellite mission and galaxy redshift surveys over the last decade to test three of the basic assumptions of the standard model of cosmology, $\Lambda$CDM: the spatial curvature of the universe, the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Shadab Alam , Shirley Ho , Alessandra Silvestri

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 use Luminous Red Galaxies from the Sloan Digital Sky Survey II to test the cosmological structure growth in two alternatives to the standard LCDM+GR cosmological model. We compare observed three-dimensional clustering in SDSS DR7 with…

We study is some detail the Cosmology of Oscillating Dark Energy described by concrete equations-of-state investigated recently in the literature. In particular, at the background level we compute the statefinder parameters, while at the…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Grigoris Panotopoulos , Ángel Rincón

On the basis of a previously established scalar-tensor extension of the $\Lambda$CDM model we develop an effective fluid approach for the matter growth function. This extended $\Lambda$CDM (henceforth $e_{\Phi}\Lambda$CDM) cosmology takes…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 W. Zimdahl , H. E. S. Velten , W. C. Algoner

We use measurements of the growth of cosmic structure, as inferred from the observed evolution of the X-ray luminosity function (XLF) of galaxy clusters, to constrain departures from General Relativity (GR) on cosmological scales. We employ…

Astrophysics · Physics 2015-05-13 David Rapetti , Steven W. Allen , Adam Mantz , Harald Ebeling

Measurement of peculiar velocities by combining redshifts and distance indicators is a powerful way to measure the growth rate of cosmic structure and test theories of gravity at low redshift. Here we constrain the growth rate of structure…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Khaled Said , Matthew Colless , Christina Magoulas , John R. Lucey , Michael J. Hudson

The gradient mapping norm is a strong and easily verifiable stopping criterion for first-order methods on composite problems. When the objective exhibits the quadratic growth property, the gradient mapping norm minimization problem can be…

Optimization and Control · Mathematics 2024-10-31 Mihai I. Florea

Molecular conformation generation poses a significant challenge in the field of computational chemistry. Recently, Diffusion Probabilistic Models (DPMs) and Score-Based Generative Models (SGMs) are effectively used due to their capacity for…

Machine Learning · Computer Science 2024-09-24 Sijia Wang , Chen Wang , Zhenhao Zhao , Jiqiang Zhang , Weiran Cai

A recent determination of the growth index indicates a value significantly higher than the $\Lambda$CDM prediction, suggesting that alternative scenarios to $\Lambda$CDM may be required. In this work, we investigate whether a time-varying…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-31 Ícaro. B. S. Cortês , Léo. G. Medeiros , Ronaldo C. Batista