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This paper reviews selected aspects of the growth of cosmological structure, covering the following general areas: (1) expected characteristics of linear density perturbations according to various candidate theories for the origin of…

Astrophysics · Physics 2007-05-23 J. A. Peacock

Deviations from general relativity in order to explain cosmic acceleration generically have both time and scale dependent signatures in cosmological data. We extend our previous work by investigating model independent gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Scott F. Daniel , Eric V. Linder

The distribution of galaxies provides an ideal laboratory to test for deviations from General Relativity. In particular, redshift-space distortions are commonly used to constrain modifications to the Poisson equation, which governs the…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 Sveva Castello , Nastassia Grimm , Camille Bonvin

The standard approach to test for deviations from general relativity on cosmological scales is to combine measurements of the growth rate of structure with gravitational lensing. In this study, we show that this method suffers from an…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-26 Sveva Castello , Zhuangfei Wang , Lawrence Dam , Camille Bonvin , Levon Pogosian

The study of cosmic expansion history and the late time cosmic acceleration from observational data depends on the nuisance parameters associated with the data. For example, the absolute peak magnitude of type Ia supernova associated with…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-19 Bikash R. Dinda

Mark correlations provide a systematic approach to look at objects both distributed in space and bearing intrinsic information, for instance on physical properties. The interplay of the objects' properties (marks) with the spatial…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Claus Beisbart , Martin Kerscher , Klaus Mecke

We look for signatures of the Hu-Sawicki f(R) modified gravity theory, proposed to explain the observed accelerated expansion of the universe; in observations of the galaxy distribution, the cosmic microwave background (CMB), and…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-12 Raphaël Kou , Calum Murray , James G. Bartlett

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi

Weak gravitational lensing on a cosmological scales can provide strong constraints both on the nature of dark matter and the dark energy equation of state. Most current weak lensing studies are restricted to (two-dimensional) projections,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Dipak Munshi , Alan Heavens , Peter Coles

In this paper a relative number density parameter, called the neighborhood function, is introduced so that the crowded nature of the neighborhood of individual sources can be described. With this parameter one can determine the probability…

Astrophysics · Physics 2009-11-13 Yi-Ping Qin , Lian-Zhong Lv , Fu-Wen Zhang , Bin-Bin Zhang , Jin Zhang

The acceleration of the universe can be explained either through dark energy or through the modification of gravity on large scales. In this paper we investigate modified gravity models and compare their observable predictions with dark…

Astrophysics · Physics 2008-11-26 Edmund Bertschinger , Phillip Zukin

We apply the marked correlation function test proposed by Armijo et al. (Paper I) to samples of luminous red galaxies (LRGs) from the final data release of the Sloan Digital Sky Survey (SDSS) III. The test assigns a density-dependent mark…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-12 Joaquin Armijo , Carlton M. Baugh , Peder Norberg , Nelson D. Padilla

Possible explanations of the observed accelerated expansion of the Universe are the introduction of a dark energy component or the modifications of gravity at large distances. A particular difference between these scenarios is the dynamics…

Astrophysics · Physics 2007-05-23 Jia-Yu Tang , Jochen Weller , Alan Zablocki

We use N-body simulations to study the statistics of massive halos and redshift space distortions for theories with a standard \Lambda CDM expansion history and a galileon-type scalar field. The extra scalar field increases the…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Mark Wyman , Elise Jennings , Marcos Lima

The growth rate of the large-scale structure of the universe has been advocated as the observable par excellence for testing gravity on cosmological scales. By considering linear-order deviations from General Relativity, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-12 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis

The measurement of the size of gravitationally bounded structures is an important test of gravity theories. For a given radius different theories can in fact predict a different gravitational stability mass (GSM) necessary to ensure the…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Camilo Santa , Antonio Enea Romano

Marked correlation functions, which are sensitive to the clustering of galaxies in different environments, have been proposed as constraints on modified gravity models. We present measurements of the marked correlation functions of galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-08 Siddharth Satpathy , Rupert Croft , Shirley Ho , Baojiu Li

Peculiar-velocity surveys of the low-redshift universe have significant leverage to constrain the growth rate of cosmic structure and test gravity. Wide-field imaging surveys combined with multi-object spectrographs (e.g. ZTF2, LSST, DESI,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-29 Alex G. Kim , Eric V. Linder

Model-independent parametrisations of modified gravity have attracted a lot of attention over the past few years; numerous combinations of experiments and observables have been suggested to constrain these parameterisations, and future…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-13 D. B. Thomas

Forthcoming projects such as the DES, a JDEM, and LSST, aim to measure weak lensing shear correlations with unprecedented accuracy. Weak lensing observables are sensitive to both the distance-redshift relation and the growth of structure in…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Andrew P. Hearin , Andrew R. Zentner