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The accelerated expansion of the universe motivates a wide class of scalar field theories that modify gravity on large scales. In regions where the weak field limit of General Relativity has been confirmed by experiment, such theories need…

Based on a mass-selected sample of galaxy-scale strong gravitational lenses from the SLACS, BELLS, LSD and SL2S surveys and using a well-motivated fiducial set of lens-galaxy parameters we tested the weak-field metric on kiloparsec scales…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-08 Shuo Cao , Xiaolei Li , Marek Biesiada , Tengpeng Xu , Yongzhi Cai , Zong-Hong Zhu

Einstein's theory of gravity, General Relativity, has been precisely tested on Solar System scales, but the long-range nature of gravity is still poorly constrained. The nearby strong gravitational lens, ESO 325-G004, provides a laboratory…

Testing the effects predicted by the General Theory of Relativity, in its linearized weak field and slow motion approximation, in the Solar System is difficult because they are very small. Among them the post-Newtonian gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

This paper discusses new fundamental physics experiment to test relativistic gravity at the accuracy better than the effects of the 2nd order in the gravitational field strength. The Laser Astrometric Test Of Relativity (LATOR) mission uses…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

In this review, we outline the expected tests of gravity that will be achieved at cosmological scales in the upcoming decades. We focus mainly on constraints on phenomenologically parameterized deviations from general relativity, which…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-21 Matteo Martinelli , Santiago Casas

The predictions of General relativity (GR) are in good agreement with observations in the solar system. Nevertheless, unexpected anomalies appeared during the last decades, along with the increasing precision of measurements. Those…

General Relativity and Quantum Cosmology · Physics 2014-09-16 B. Lamine , J. -M. Courty , S. Reynaud , M. -T. Jaekel

We test screened dark energy with near-Earth, space-based measurements. In a post-Newtonian framework, we compute leading corrections to geodetic precession (Gravity Probe B), LAGEOS-2 pericenter advance, and the Sagnac delay in a…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Fabiano Feleppa , Welmoed Marit de Graaf , Philippe Brax , Gaetano Lambiase

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

The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests…

General Relativity and Quantum Cosmology · Physics 2014-08-06 Clifford M. Will

Several model-independent parameterizations of deviations from General Relativity have been developed to test Einstein's theory. Although these different parameterizations were developed for different gravitational observables, they…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Laura Sampson , Nicolas Yunes , Neil Cornish

Extended theories of gravity have been extensively investigated during the last thirty years, aiming at fixing infrared and ultraviolet shortcomings of General Relativity and of the associated $\Lambda$CDM cosmological model. Recently,…

General Relativity and Quantum Cosmology · Physics 2022-08-10 Filippo Bouchè , Salvatore Capozziello , Vincenzo Salzano , Keiichi Umetsu

A new, field-theory-based framework for discussing and interpreting tests of gravity, notably at the second post-Newtonian (2PN) level, is introduced. Contrary to previous frameworks which attempted at parametrizing any conceivable…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Thibault Damour , Gilles Esposito-Farese

Modifications of gravity have been considered to model the primordial inflation and the late-time cosmic acceleration. Provided that modified gravity models do not suffer from theoretical instabilities, they must be confronted with…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Sandrine Schlögel

The Laser Astrometric Test Of Relativity (LATOR) is a Michelson-Morley-type experiment designed to achieve a major improvement in the accuracy of the tests of relativistic gravity in the solar system. By using a combination of independent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

We review recent progress in the construction of modified gravity models as alternatives to dark energy as well as the development of cosmological tests of gravity. Einstein's theory of General Relativity (GR) has been tested accurately…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-24 Kazuya Koyama

Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent…

Astrophysics · Physics 2009-11-13 Yong-Seon Song , Olivier Doré

If it is hypothesised that there is no dark matter then some alternative gravitational theory must take the place of general relativity (GR) on the largest scales. Dynamical measurements can be used to investigate the nature of such a…

Astrophysics · Physics 2008-11-26 Daniel J. Mortlock , Edwin L. Turner

In this paper we study the effects of $f(R)$ Theories of Gravity on Solar System gravitational tests. In particular, starting from an exact solution of the field equation in vacuum, in the Palatini formalism, we work out the effects that…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Matteo Luca Ruggiero , Lorenzo Iorio

Galaxy-scale strong gravitational lenses with measured stellar velocity dispersions allow a test of the weak-field metric on kiloparsec scales and a geometric measurement of the cosmological distance-redshift relation, provided that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Josiah Schwab , Adam S. Bolton , Saul A. Rappaport