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Einstein's equivalence principle (EEP) can be tested by the time delay between photons with different energies passing through a gravitational field. As one of the most energetic explosions in the Universe, gamma-ray bursts (GRBs) provide…

High Energy Astrophysical Phenomena · Physics 2016-07-11 Yu Sang , Hai-Nan Lin , Zhe Chang

The Einstein Equivalence Principle (EEP) carries a pivotal role in understanding theory of gravity and spacetime. It guarantees the gravity to be understood as geometric phenomenon. Considering gravitational coupling of matter in the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 ChengGang Qin , YuJie Tan , ChengGang Shao

This paper addresses the motivation, technology and recent results in the tests of the general theory of relativity (GR) in the solar system. We specifically discuss Lunar Laser Ranging (LLR), the only technique available to test the Strong…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Slava G. Turyshev , James G. Williams , Kenneth Nordtvedt , Michael Shao , Thomas W. Murphy

We investigate the possibility of testing of the Einstein Equivalence Principle (EEP) using measurements of anomalous magnetic moments of elementary particles. We compute the one loop correction for the $g-2$ anomaly within the class of non…

General Relativity and Quantum Cosmology · Physics 2010-01-06 C. Alvarez , R. B. Mann

On the basis of the relativistic mass-energy concept we found that a proper mass of a test particle in a gravitational field depends on a potential energy, hence, a freely falling particle has a varying proper mass. Consequently, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anatoli Vankov

The Satellite Test of the Equivalence Principle (STEP) will advance experimental limits on violations of Einstein's Equivalence Principle from their present sensitivity of 2 parts in $10^{13}$ to 1 part in $10^{18}$ through multiple…

General Relativity and Quantum Cosmology · Physics 2014-01-21 James Overduin , Francis Everitt , Paul Worden , John Mester

The Universality of Free Fall and the Weak Equivalence Principle, which are at the basis of General Relativity, have been confirmed to 1 part in 10^13. Space experiments with macroscopic test masses of different composition orbiting the…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Anna M. Nobili

Violations of both the weak equivalence principle (WEP) and Lorentz invariance can produce vacuum birefringence, which leads to an energy-dependent rotation of the polarization vector of linearly polarized emission from a given…

High Energy Astrophysical Phenomena · Physics 2020-06-23 Jun-Jie Wei , Xue-Feng Wu

We report a hyperfine-states related weak equivalence principle (WEP) test which searches for possible WEP violation signal in single atom interferometer. With the ground hyperfine states $\left|F=1\right\rangle$ and…

The ultra-precise Gravity Probe B experiment measured the frame-dragging effect and geodetic precession on four quartz gyros. We use this result to test WEP II (Weak Equivalence Principle II) which includes rotation in the universal…

General Relativity and Quantum Cosmology · Physics 2011-08-22 Wei-Tou Ni

Experiments on the violation of equivalence principle (EP) and solar system give a number of constraints in which any modified gravity model must satisfy them. We study these constraints on a kind of $f(R)$ gravity as $f(R) = R(1\pm…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Kh. Saaidi , A. Aghamohammadi

Analyses of laser ranges to the Moon provide increasingly stringent limits on any violation of the Equivalence Principle (EP); they also enable several very accurate tests of relativistic gravity. We report the results of our recent…

General Relativity and Quantum Cosmology · Physics 2010-04-06 James G. Williams , Slava G. Turyshev , Dale H. Boggs

We present a test of the equivalence principle on cosmological scales. This cornerstone of general relativity has been tested with high precision for standard matter, but its validity for the unknown dark matter remains a crucial open…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Sveva Castello , Ziyang Zheng , Camille Bonvin , Luca Amendola

If the weak equivalence principle (WEP) is broken, the measured values of the parametrized post-Newtonian parameter $\gamma$ from photons with left- and right-handed circular polarizations should differ slightly, leading to the arrival-time…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Jun-Jie Wei , Xue-Feng Wu

Gamma Ray Bursts (GRBs) with rapid variations at cosmological distances are used to place new limits on violations of the gravitational weak equivalence principle (WEP). These limits track intrinsic timing deviations between GRB photons of…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-15 Matipon Tangmatitham , Robert J. Nemiroff

The Strong Equivalence Principle (SEP) holds the full essence and meaning of the General Theory of Relativity as the nonlinear relativistic theory of gravitation. It asserts the universal coupling of gravity to all matter and its…

General Relativity and Quantum Cosmology · Physics 2020-07-06 C. S. Unnikrishnan , George T. Gillies

Over the last few years, a set of new results from pulsar timing has introduced much tighter constraints on violations of the strong equivalence principle (SEP), either via a direct verification of the universality of free fall for a pulsar…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Paulo C. C. Freire

Satellite laser-ranging is successfully used in space geodesy, geodynamics and Earth sciences; and to test fundamental physics and specific features of General Relativity. We present a confirmation to approximately one part in a billion of…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Ignazio Ciufolini , Richard Matzner , Antonio Paolozzi , Erricos C. Pavlis , Giampiero Sindoni , John Ries , Vahe Gurzadyan , Rolf Koenig

We investigate how the cosmological Euler equation can be tested in the presence of viscous dark matter, violations of the equivalence principle (EP), and modifications of gravity, while relying on minimal theoretical assumptions. Extending…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-10 Ziyang Zheng , Malte Schneider , Luca Amendola