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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 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 weak equivalence principle is one of the cornerstone of general relativity. Its validity has been tested with impressive precision in the Solar System, with experiments involving baryonic matter and light. However, on cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-10 Camille Bonvin , Felipe Oliveira Franco , Pierre Fleury

A key observational prediction of Einstein's Equivalence Principle is that light undergoes redshift when it escapes from a gravitational field. Although astrophysics provides a wide variety of physical conditions in which this redshift…

Astrophysics of Galaxies · Physics 2022-04-20 Carlos M. Gutiérrez , Nataliya Ramos-Chernenko

We review the experimental evidence for Einstein's special and general relativity. A variety of high precision null experiments verify the weak equivalence principle and local Lorentz invariance, while gravitational redshift and other clock…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Clifford M. Will

The peculiar velocity distribution of cluster member galaxies provides a powerful tool to directly investigate the gravitational potentials within galaxy clusters and to test the gravity theory on megaparsec scales. We exploit spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-04 D. Rosselli , F. Marulli , A. Veropalumbo , A. Cimatti , L. Moscardini

The Einstein Equivalence Principle is a fundamental principle of the theory of General Relativity. While this principle has been thoroughly tested with standard matter, the question of its validity in the Dark sector remains open. In this…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-22 N. Mohapi , A. Hees , J. Larena

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

The unknown nature of dark energy motivates continued cosmological tests of large-scale gravitational physics. We present a new consistency check based on the relative amplitude of non-relativistic galaxy peculiar motions, measured via…

We report on the results from an ongoing program aimed at testing Newton's law of gravity in the low acceleration regime using globular clusters. It is shown that all clusters studied so far do behave like galaxies, that is, their velocity…

Astrophysics · Physics 2009-06-25 Riccardo Scarpa , Gianni Marconi , Roberto Gilmozzi , Giovanni Carraro

One of the cornerstones of general relativity is the equivalence principle. However, the validity of the equivalence principle has only been established on solar system scales for standard matter fields; this result cannot be assumed to…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 Obinna Umeh , Kazuya Koyama , Robert Crittenden

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

Einstein's theory of general relativity predicts that a clock at a higher gravitational potential will tick faster than an otherwise identical clock at a lower potential, an effect known as the gravitational redshift. Here we perform a…

Atomic Physics · Physics 2023-07-28 Xin Zheng , Jonathan Dolde , Matthew C. Cambria , Hong Ming Lim , Shimon Kolkowitz

The recent measurement of the gravitational redshifts of galaxies in galaxy clusters by Wojtak et al. has opened a new observational window on dark matter and modified gravity. By stacking clusters this determination effectively used the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Rupert A. C. Croft

Observations of clusters of galaxies that gravitationally lens faint background galaxies can probe the amount and the equation of state, $\5$, of the dark energy (quintessence) in the universe. Provided that the mass profile and the mass…

Astrophysics · Physics 2009-11-07 M. Sereno

Galaxy cluster gas mass fraction versus redshift data and Hubble parameter versus redshift data are used to jointly constrain dark energy models. These constraints favor the Einstein cosmological constant limit of dark energy but do not…

Astrophysics · Physics 2007-06-14 Lado Samushia , Gang Chen , Bharat Ratra

The Einstein equivalence principle is based on the equality of gravitational mass and inertial mass, which has led to the universality of a free-fall concept. The principle has been extremely well tested so far and has been tested with a…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Sougato Bose , Anupam Mazumdar , Martine Schut , Marko Toroš

Although there is overwhelming evidence of dark matter from its gravitational interaction, we still do not know its precise gravitational interaction strength or whether it obeys the equivalence principle. Using the latest available…

High Energy Physics - Phenomenology · Physics 2015-10-21 Yang Bai , Jordi Salvado , Ben A. Stefanek

We investigate leading order deviations from general relativity that violate the Einstein equivalence principle in the gravitational standard model extension. We show that redshift experiments based on matter waves and clock comparisons are…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Michael A. Hohensee , Steven Chu , Achim Peters , Holger Mueller

We predict the amplitude of the gravitational redshift of galaxies in galaxy clusters using an N-body simulation of a Lambda CDM universe. We examine if it might be possible to detect the gravitational effect on the total redshift observed…

Astrophysics · Physics 2009-11-10 Young-Rae Kim , Rupert Croft
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