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The dynamics of globular clusters has been studied in great detail in the context of general relativity as well as with modifications of gravity that strongly depart from the standard paradigm such as MOND. However, at present there are no…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-28 Claudio Llinares

The nature of dark energy remains a profound mystery 20 years after the discovery of cosmic acceleration. A very high number density galaxy redshift survey over a wide area (HD GRS Wide) spanning the redshift range of 0.5<z<4 using the same…

In this work we present a brief discussion about modified and extended cosmological models using current observational tests. We show that according to these astrophysical samples based in late universe measurements, theories like $f(R)$…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Celia Escamilla-Rivera

We review a set of the possible ways to constrain extended gravity models at Galaxy clusters scales (the regime of dark energy explanations and comparison with $\Lambda CDM$), for black hole shadows, gravitational wave astronomy, binary…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Stanislav Alexeyev , Vyacheslav Prokopov

In this manuscript I review the mathematics and physics that underpins recent work using the clustering of galaxies to derive cosmological model constraints. I start by describing the basic concepts, and gradually move on to some of the…

Astrophysics · Physics 2009-07-28 Will J. Percival

Clusters of galaxies have been used to measure a subtle effect predicted by Einstein: gravitational redshift. This signal encodes pristine information about our Universe, since it is sensitive to the depth of the clusters' gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Enea Di Dio , Sveva Castello , Camille Bonvin

Redshift distortion measurements from galaxy surveys include sensitivity to the gravitational growth index distinguishing other theories from Einstein gravity. This gravitational sensitivity is substantially free from uncertainty in the…

Astrophysics · Physics 2010-11-05 Eric V. Linder

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

Modified theories of gravity provide us with a unique opportunity to generate innovative tests of gravity. In Chameleon f(R) gravity, the gravitational potential differs from the weak-field limit of general relativity (GR) in a mass…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-26 Alejo Stark , Christopher J. Miller , Nicholas Kern , Daniel Gifford , Gong-Bo Zhao , Baojiu Li , Kazuya Koyama , Robert C. Nichol

The 2dF Galaxy Redshift Survey has now been completed and has mapped the three-dimensional distribution, and hence clustering, of galaxies in exquisite detail over an unprecedentedly large ($\sim 10^{8} h^{-3}$ Mpc$^{3}$) volume of the…

Astrophysics · Physics 2007-05-23 Warrick Couch , Matthew Colless , Roberto De Propris

A generic prediction of the standard cosmology, based on general relativity (GR), dark matter and the cosmological constant (and more generally, smooth dark energy), is that, the two gravitational potentials describing the spatial and…

Astrophysics · Physics 2008-09-18 Pengjie Zhang , Rachel Bean , Michele Liguori , Scott Dodelson

The growth rate of large scale structure can probe whether dark matter clusters at gravitational strength or deviates from this, e.g. due to self interactions. Measurement of the growth rate through redshift space distortions in galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-15 Eric V. Linder

Line intensity mapping (LIM) can provide a powerful means to constrain the theory of gravity and the nature of dark energy at low and high redshifts by mapping the large-scale structure (LSS) over many redshift epochs. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-18 Azadeh Moradinezhad Dizgah , Emilio Bellini , Garrett K. Keating

Number counts of galaxy clusters offer a very promising probe of the Dark Energy (DE) equation-of-state parameter, $w$. The basic goal is to measure abundances of these objects as a function of redshift, compare this to a theoretical…

Astrophysics · Physics 2009-09-29 M. Davis , B. F. Gerke , A. L. Coil , M. C. Cooper , R. Yan , J. A. Newman , S. M. Faber , D. Koo , P. Guhathakurta

The light that we receive from clusters of galaxies is redshifted by the presence of the clusters' gravitational potential. This effect, known as gravitational redshift, was first detected from a sample of stacked clusters in 2011, by…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-29 Enea Di Dio , Sveva Castello , Camille Bonvin

The apparent sizes and brightnesses of galaxies are correlated in a dipolar pattern around matter overdensities in redshift space, appearing larger on their near side and smaller on their far side. The opposite effect occurs for galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-09 Sambatra Andrianomena , Camille Bonvin , David Bacon , Philip Bull , Chris Clarkson , Roy Maartens , Teboho Moloi

We derive the expression for the observed redshift in the weak field limit in the observer's past light cone, including all relativistic terms up to second order in velocity. We then apply it to compute the cluster-galaxy cross-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-24 Yan-Chuan Cai , Nick Kaiser , Shaun Cole , Carlos Frenk

Galaxy redshift surveys have achieved significant progress over the last couple of decades. Those surveys tell us in the most straightforward way what our local universe looks like. While the galaxy distribution traces the bright side of…

Astrophysics · Physics 2015-06-24 Ofer Lahav , Yasushi Suto

There is growing interest in testing alternative gravity theories using the subtle gravitational redshifts in clusters of galaxies. However, current models all neglect a transverse Doppler redshift of similar magnitude, and some models are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Hongsheng Zhao , John Peacock , Baojiu Li