Experimental Tests of General Relativity

Turyshev, Slava G.

doi:10.1146/annurev.nucl.58.020807.111839

Cited by 140 publications

(154 citation statements)

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“…The knowledge of more tighter limits of these quantities may be helpful to verify Einstein's theory or to distinguish between cosmological models and alternative theories of gravitation. Some theories predict for instance an EP violation at a level of m g /m i = 10 −18 -10 −12 with gravitational mass m g and inertial mass m i (Damour et al 2002;Turyshev 2008), while some multidimensional theories expect a temporal variation in G of the order ofĠ/G = 10 −14 -10 −11 yr −1 (Steinhardt & Wesley 2010;Sanders et al 2010). …”

Section: Introductionmentioning

confidence: 99%

Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant

Hofmann

Müller

Biskupek

2010

A&A

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Context. Forty years of lunar laser ranging (LLR) data provide an excellent basis to determine various parameters of the Earth-Moon system as well as parameters related to gravitational physics. Aims. We update the Institut für Erdmessung (IfE) LLR model taking the effect of a fluid lunar core into consideration. The temporal variation in the gravitational constantĠ/G 0 and the strong equivalence principle, parameterized by the Nordtvedt parameter η, are investigated. Methods. A set of LLR observations from 1970 to 2009 was analysed and the parameters were determined by a least squares adjustment in two runs. After solving for classical Newtonian parameters (e.g. initial conditions for the lunar orbit and rotation) in the first run, relativistic parameters were determined in the second run. Results. The upper limits to the gravitational constant and the Nordtvedt parameter were found to beĠ/G 0 = (−0.7 ± 3.8)×10 −13 yr −1 and η = (−0.6 ± 5.2) × 10 −4 .

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Section: Introductionmentioning

confidence: 99%

Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant

Hofmann

Müller

Biskupek

2010

A&A

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“…Between the ISS and the ground, the Shapiro time delay is 0.5-3.1 mm (i.e., 1.8-10.4 ps). The next order term in this expression would be the one due to Earth's quadrupole [20] whose presence extends the standard formulation given in [23,31]. The largest contribution from the quadruple will be for a ground-based receiver.…”

Section: Light Travel Timementioning

confidence: 99%

General relativistic observables for the ACES experiment

Turyshev¹,

Yu²,

Toth³

2016

Phys. Rev. D

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We develop a high-precision model for relativistic observables of the Atomic Clock Ensemble in Space (ACES) experiment on the International Space Station (ISS). We develop all relativistic coordinate transformations that are needed to describe the motion of ACES in Earth orbit and to compute observable quantities. We analyze the accuracy of the required model as it applies to the proper-to-coordinate time transformations, light time equation, and spacecraft equations of motion. We consider various sources of nongravitational noise and their effects on ACES. We estimate the accuracy of orbit reconstruction that is needed to satisfy the ACES science objectives. Based on our analysis, we derive models for the relativistic observables of ACES, which also account for the contribution of atmospheric drag on the clock rate. We include the Earth's oblateness coefficient J2 and the effects of major nongravitational forces on the orbit of the ISS. We demonstrate that the ACES reference frame is pseudo-inertial at the level of accuracy required by the experiment. We construct a Doppler-canceled science observable representing the gravitational redshift. We derive accuracy requirements for ISS navigation. The improved model is accurate up to < 1 ps and ∼ 4 × 10 −17 for time and frequency transfers, correspondingly. These limits are determined by the higher order harmonics in Earth's gravitational potential.PACS numbers: 03.30.+p, 04.25.Nx, 06.30.Gv, 95.10.Eg, 95.10.Jk, 95.55.Pe

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“…Table 1), 20 we obtain the limitation on the value of f 0 by solving the system (4): It is important to note that we use a down limit for γ P P N and top for β P P N values because f (R) gravity predicts that γ P P N < 1 and β P P N > 1. In the case γ P P N > 1 and β P P N < 1 value of f 0 becomes an imaginary quantity, becoming completely unphysical.…”

Section: -16mentioning

confidence: 99%

Strong-field tests of f(R)-gravity in binary pulsars

Dyadina

Alexeyev

Capozziello³

et al. 2016

Int. J. Mod. Phys. Conf. Ser.

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We develop the parameterized post-Keplerian approach for class of analytic f (R)-gravity models. Using the double binary pulsar system PSR J0737-3039 data we obtain restrictions on the parameters of this class of f (R)-models and show that f (R)-gravity is not This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. P. I. Dyadina et al.ruled out by the observations in strong field regime. The additional and more strong corresponding restriction is extracted from solar system data.

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Experimental Tests of General Relativity

Cited by 140 publications

References 154 publications

Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant

Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant

General relativistic observables for the ACES experiment

Strong-field tests of f(R)-gravity in binary pulsars

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