Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational “constant” <i>G</i> and other cosmological parameters

Sanders, Alvin J.; Gillies, G. T.; Schmutzer, Ernst

doi:10.1002/andp.201010460

Cited by 4 publications

(3 citation statements)

References 74 publications

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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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“…It is an extension of Einstein's theory with additional scalar fields [39]. Recent studies in [41,42] confirm the considerations that a temporal variation of the gravitational constant in the range fromĠ/G 0 = 10 −11 yr −1 toĠ/G 0 = −10 −14 yr −1 might be possible. According to the remarks in [43], there are also theories which admit so-called preferred reference systems.…”

Section: Temporal Variation Of the Gravitational Constantmentioning

confidence: 80%

Benefit of New High-Precision LLR Data for the Determination of Relativistic Parameters

2021

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Since 1969, Lunar Laser Ranging (LLR) data have been collected by various observatories and analysed by different analysis groups. In the recent years, observations with bigger telescopes (APOLLO) and at infra-red wavelength (OCA) are carried out, resulting in a better distribution of precise LLR data over the lunar orbit and the observed retro-reflectors on the Moon. This is a great advantage for various investigations in the LLR analysis. The aim of this study is to evaluate the benefit of the new LLR data for the determination of relativistic parameters. Here, we show current results for relativistic parameters like a possible temporal variation of the gravitational constant G˙/G0=(−5.0±9.6)×10−15yr−1, the equivalence principle with Δmg/miEM=(−2.1±2.4)×10−14, and the PPN parameters β−1=(6.2±7.2)×10−5 and γ−1=(1.7±1.6)×10−4. The results show a significant improvement in the accuracy of the various parameters, mainly due to better coverage of the lunar orbit, better distribution of measurements over the lunar retro-reflectors, and last but not least, higher accuracy of the data. Within the estimated accuracies, no violation of Einstein’s theory is found and the results set improved limits for the different effects.

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“…Let us further mention that recently a review article on various 4-dimensional approaches of theories with time-dependent cosmological gravitational parameters appeared, comparing the ansatzes with corresponding measuring results (see [14]).…”

Section: Newtonian-like Approximation Of Puftmentioning

confidence: 99%

Field Equations and Equations of Motion in Post-Newtonian Approximation of the Projective Unified Field Theory

Gorbatsievich

Schmutzer

2012

Int. J. Mod. Phys. E

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The equations of motion of N gravitationally bound bodies are derived from the field equations of Projective Unified Field Theory. The Newtonian and the post-Newtonian approximations of the field equations and of the equations of motion of this system of bodies are studied in detail. In analyzing some experimental data we performed some numeric estimates of the ratio of the inertial mass to the scalaric mass of matter. * Dedicated to Prof. Dr. Nikolay Mitskievich on the occasion of his 80 th birthday.

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Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational “constant” G and other cosmological parameters

Cited by 4 publications

References 74 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

Benefit of New High-Precision LLR Data for the Determination of Relativistic Parameters

Field Equations and Equations of Motion in Post-Newtonian Approximation of the Projective Unified Field Theory

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