General formula for comparison of clock rates—applications to cosmos and solar system

Chun, Xu; Wu, Xuejun; Brüning, Erwin

doi:10.1088/0264-9381/22/23/007

Cited by 2 publications

(2 citation statements)

References 36 publications

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“…All of above works mentioned are only considering one body in the 2PN order. The 2PN gravitational redshift in GR was derived [23] by superpotentials. Under the f (R) theory, the 2PN weak lensing was explored in the isotropic gauge [24].…”

Section: Introductionmentioning

confidence: 99%

Two-post-Newtonian light propagation in the scalar-tensor theory: AnN-point mass case

Deng

Xie

2012

Phys. Rev. D

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Within the framework of the scalar-tensor theory (STT), its second post-Newtonian (2PN) approximation is obtained with Chandrasekhar's approach. By focusing on an N -point-masses system as the first step, we reduce the metric to its 2PN form for light propagation. Unlike previous works, at 2PN order, we abandon the hierarchized hypothesis and do not assume two parametrized post-Newtonian (PPN) parameters γ and β to be unity. We find that although there exist γ and β in the 2PN metric, only γ appears in the 2PN equations of light. As a simple example for applications, a gauge-invariant angle between the directions of two incoming photons for a differential measurement is investigated after the light trajectory is solved in a static and spherically symmetric spacetime. It shows the deviation from the general relativity (GR) δθ STT does not depend on β even at 2PN level in this circumstance, which is consistent with previous results. A more complicated application is light deflection in a 2-point-masses system. We consider a case that the light propagation time is much less than the time scale of its orbital motion and thus treat it as a static system. The 2-body effect at 2PN level originating from relaxing the hierarchized hypothesis is calculated. Our analysis shows the 2PN 2-body effect in the Solar System is one order of magnitude less than future ∼ 1 nas experiments, while this effect could be comparable with 1PN component of δθ STT in a binary system with two Sun-like stars and separation by ∼ 0.1 AU if an experiment would be able to measure γ − 1 down to ∼ 10 −6 .

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Section: Introductionmentioning

confidence: 99%

Two-post-Newtonian light propagation in the scalar-tensor theory: AnN-point mass case

Deng

Xie

2012

Phys. Rev. D

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“…This result demands post-post-Newtonian ephemeris framework to be established for the analysis and simulation of data. Efforts have been started towards this direction [14][15][16][17][18].…”

Section: Sun Inner Orbitmentioning

confidence: 99%

ASTROD and ASTROD I: Progress Report

Ni¹,

Araújo²,

Bao³

et al. 2006

J. Phys.: Conf. Ser.

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Over the next decade the gravitational physics community will benefit from dramatic improvements in many technologies critical to the tests of gravity and gravitational-wave detection. The highly accurate deep space navigation, interplanetary laser ranging and communication, interferometry and metrology, high precision frequency standards, precise pointing and attitude control, together with the drag-free technologies will revolutionize the field of the experimental gravitational physics. Deep-space laser ranging will be ideal for gravitational-wave detection, and testing relativity and measuring solar-system parameter to an unprecedented accuracy. ASTROD I is such a mission with single spacecraft; it is the first step of ASTROD (Astrodynamical Space Test of Relativity using Optical Devices) with 3 spacecraft. In this paper, we will present the progress of ASTROD and ASTROD I with emphases on the acceleration noises, mission requirement, charging simulation, drag-free control and low-frequency gravitational-wave sensitivity.

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General formula for comparison of clock rates—applications to cosmos and solar system

Cited by 2 publications

References 36 publications

Two-post-Newtonian light propagation in the scalar-tensor theory: AnN-point mass case

Two-post-Newtonian light propagation in the scalar-tensor theory: AnN-point mass case

ASTROD and ASTROD I: Progress Report

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