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We consider the problem of testing the Einstein Equivalence Principle (EEP) by measuring the gravitational redshift with two Earth-orbiting stable atomic clocks. For a reasonably restricted class of orbits we find an optimal experiment…

General Relativity and Quantum Cosmology · Physics 2021-08-24 D. A. Litvinov , S. V. Pilipenko

In a recent paper, H. Mueller, A. Peters and S. Chu [A precision measurement of the gravitational redshift by the interference of matter waves, Nature 463, 926-929 (2010)] argued that atom interferometry experiments published a decade ago…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Peter Wolf , Luc Blanchet , Christian J. Borde , Serge Reynaud , Christophe Salomon , Claude Cohen-Tannoudji

Classical clocks measure proper time along their worldline, and Riemannian geometry provides tools for predicting the time shown by clocks in both flat and curved spacetimes. Common approaches to time in quantum systems, based for instance…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Joseph Balsells , Martin Bojowald

Based on the consideration of naturalness and physical facts in Einstein's theories of relativity, a nontrivial spacetime physical picture, which has a slight difference from the standard one, is introduced by making a further distinction…

High Energy Physics - Theory · Physics 2016-01-27 ChiYi Chen

General relativity predicts that two counter-orbiting clocks around a spinning mass differ in the time required to complete the same orbit. The difference in these two values for the orbital period is generally referred to as the…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Kaye Jiale Li , Kinwah Wu , Ziri Younsi , Joana Teixeira , Dinesh Singh

We review matter wave and clock comparison tests of the gravitational redshift. To elucidate their relationship to tests of the universality of free fall (UFF), we define scenarios wherein redshift violations are coupled to violations of…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Michael A. Hohensee , Brian Estey , Francisco Monsalve , Geena Kim , Pei-Chen Kuan , Shau-Yu Lan , Nan Yu , Achim Peters , Steven Chu , Holger Mueller

In a uniform gravitational field, classical test objects fall universally. Any reference object or observer will fall in the same universal manner. Therefore, a uniform gravitational field cannot create dynamics between observers and…

Quantum Physics · Physics 2024-04-05 Peter Asenbaum , Chris Overstreet , Mark A. Kasevich

The Einstein equations, apart from being the classical field equations of General Relativity, are also the classical field equations of two other theories of gravity. As the experimental tests of General Relativity are done using the…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Sebastian Bahamonde , Mir Faizal

We investigate the performance of the upcoming ACES (Atomic Clock Ensemble in Space) space mission in terms of its primary scientific objective, the test of the gravitational redshift. Whilst the ultimate performance of that test is…

Instrumentation and Methods for Astrophysics · Physics 2020-01-08 Etienne Savalle , Christine Guerlin , Pacôme Delva , Frédéric Meynadier , Christophe le Poncin-Lafitte , Peter Wolf

This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

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

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

General Relativity and Quantum Cosmology · Physics 2010-07-02 M. Cattani

This review is focused on tests of Einstein's theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Nicolas Yunes , Xavier Siemens , Kent Yagi

In order to directly demonstrate that in static gravitational field the rate of clocks increases with their distance from the source a simple thought experiment is proposed.

High Energy Physics - Phenomenology · Physics 2009-10-31 L. B. Okun

To test the theory of gravity one needs to test, on one hand, how space and time are distorted by matter and, on the other hand, how matter moves in a distorted space-time. Current observations provide tight constraints on the motion of…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Daniel Sobral-Blanco , Camille Bonvin

Scalar-tensor gravity represents a natural extension of general relativity. This paper investigates a conformal scalar-tensor gravity, the environmentally dependent dilaton model, and identifies regions of its parameter space potentially…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Li Hu , Rong-Gen Cai , Song He , Li-Fang Li , Tong Liu , Peng Xu , Shao-Jiang Wang

We present a gravitationally rigorous and clear answer, in the negative, to the question whether gravimetry with atom interferometers is equivalent to the the measurement of the relative gravitational time dilation of two clocks separated…

Quantum Physics · Physics 2011-07-01 C. S. Unnikrishnan , George T. Gillies

The difference in the proper azimuthal periods of revolution of two standard clocks in direct and retrograde orbits about a central rotating mass is proportional to J/Mc^2, where J and M are, respectively, the proper angular momentum and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Mashhoon , F. Gronwald , F. W. Hehl , D. S. Theiss

That gravitation can be understood as purely metric phenomenon depends crucially on the validity of a number of hypotheses which are summarised by the Einstein Equivalence Principle, the least well tested part of which being the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Domenico Giulini