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Tests of gravity on large-scales in the universe can be made using both imaging and spectroscopic surveys. The former allow for measurements of weak lensing, galaxy clustering and cross-correlations such as the ISW effect. The latter probe…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-27 Jacek Guzik , Bhuvnesh Jain , Masahiro Takada

General relativity as one the pillar of modern cosmology has to be thoroughly tested if we want to achieve an accurate cosmology. We present the results from such a test on cosmological scales using cosmic shear and galaxy clustering…

Gravitational weak lensing by large scale structures is view as a tool to probe the bias relation between the mass and the light distributions. It is explained how a particular statistic can be used to deproject the 2D mass distribution…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke

Future weak lensing surveys will map the evolution of matter perturbations and gravitational potentials, yielding a new test of general relativity on cosmic scales. They will probe the relations between matter overdensities, local…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-15 Gong-Bo Zhao , Levon Pogosian , Alessandra Silvestri , Joel Zylberberg

Gravitational lensing can provide pure geometric tests of the structure of space-time, for instance by determining empirically the angular diameter distance-redshift relation. This geometric test has been demonstrated several times using…

Modifications to General Relativity (GR) often incorporate screening mechanisms in order to remain compatible with existing tests of gravity. The screening is less efficient in underdense regions, which suggests that cosmic voids can be a…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 Christopher T. Davies , Marius Cautun , Baojiu Li

In these lectures I give an overview of gravitational lensing, concentrating on theoretical aspects, including derivations of some of the important results. Topics covered include the determination of surface mass densities of intervening…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Alan Heavens

The cross-correlation of gravitational wave strain with upcoming galaxy surveys probe theories of gravity in a new way. This method enables testing the theory of gravity by combining the effects from both gravitational lensing of…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-01 Suvodip Mukherjee , Benjamin D. Wandelt , Joseph Silk

We investigate the potential of weak lensing by voids to test for deviations from General Relativity. We calculate the expected lensing signal of a scalar field with derivative couplings, finding that it has the potential to boost the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-13 Tessa Baker , Joseph Clampitt , Bhuvnesh Jain , Mark Trodden

A number of alternatives to general relativity exhibit gravitational screening in the non-linear regime of structure formation. We describe a set of algorithms that can produce weak lensing maps of large scale structure in such theories and…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-15 Nicolas Tessore , Hans A. Winther , R. Benton Metcalf , Pedro G. Ferreira , Carlo Giocoli

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 present a framework for analyzing weak gravitational lensing survey data, including lensing and source-density observables, plus spectroscopic redshift calibration data. All two-point observables are predicted in terms of parameters of a…

Astrophysics · Physics 2014-11-18 Gary M. Bernstein

We use galaxy-galaxy weak lensing data to perform a novel test on general relativity (GR) and $f(T)$ torsional gravity. In particular, we impose strong constraints using the torsional (teleparallel) formulation of gravity in which the…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Zhaoting Chen , Wentao Luo , Yi-Fu Cai , Emmanuel N. Saridakis

We construct a consistency test of General Relativity (GR) on cosmological scales. This test enables us to distinguish between the two alternatives to explain the late-time accelerated expansion of the universe, that is, dark energy models…

Astrophysics · Physics 2009-06-23 Yong-Seon Song , Kazuya Koyama

Weak gravitational lensing provides a unique method to map directly the distribution of dark matter in the universe and to measure cosmological parameters. This cosmic-shear technique is based on the measurement of the weak distortions that…

Astrophysics · Physics 2008-11-26 Alexandre Refregier

Galaxy surveys provide one of the best ways to constrain the theory of gravity at cosmological scales. They can be used to constrain the two gravitational potentials encoding time, $\Psi$, and spatial, $\Phi$, distortions, which are exactly…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Isaac Tutusaus , Daniel Sobral-Blanco , Camille Bonvin

Gravitational lensing directly measures mass density fluctuations along the lines of sight to very distant objects. No assumptions need to be made concerning bias, the ratio of fluctuations in galaxy density to mass density. Hence, lensing…

Astrophysics · Physics 2007-05-23 Joachim Wambsganss , Renyue Cen , Jeremiah P. Ostriker

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

We explore the complementarity of weak lensing and galaxy peculiar velocity measurements to better constrain modifications to General Relativity. We find no evidence for deviations from GR on cosmological scales from a combination of…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-26 Yong-Seon Song , Gong-Bo Zhao , David Bacon , Kazuya Koyama , Robert C Nichol , Levon Pogosian

Although general relativity underlies modern cosmology, its applicability on cosmological length scales has yet to be stringently tested. Such a test has recently been proposed, using a quantity, EG, that combines measures of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-11 Reinabelle Reyes , Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , James E. Gunn , Lucas Lombriser , Robert E. Smith
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