# Propagation Speed of Gravity and the Relativistic Time Delay

@article{Will2003PropagationSO,
title={Propagation Speed of Gravity and the Relativistic Time Delay},
author={C. Will},
journal={The Astrophysical Journal},
year={2003},
volume={590},
pages={683-690}
}
• C. Will
• Published 2003
• Physics
• The Astrophysical Journal
We calculate the delay in the propagation of a light signal past a massive body that moves with speed v, under the assumption that the speed of propagation of the gravitational interaction cg differs from that of light. Using the post-Newtonian approximation, we consider an expansion in powers of v/c beyond the leading "Shapiro" time-delay effect, while working to first order only in Gm/c2, and show that the altered propagation speed of the gravitational signal has no effect whatsoever on the… Expand

#### Figures from this paper

Aberration and the Fundamental Speed of Gravity in the Jovian Deflection Experiment
• Physics
• 2006
We describe our explicit Lorentz-invariant solution of the Einstein and null geodesic equations for the deflection experiment of 2002 September 8 when a massive moving body, Jupiter, passed withinExpand
Comment on ‘Model-dependence of Shapiro time delay and the “speed of gravity/speed of light” controversy’
In a recent paper published in (2004 Class. Quantum Grav. 21 3803) Carlip used a vector–tensor theory of gravity to calculate the Shapiro time delay by a moving gravitational lens. He claimed thatExpand
Model-dependence of Shapiro time delay and the 'speed of gravity/speed of light' controversy
Fomalont and Kopeikin have recently succeeded in measuring the velocity-dependent component of the Shapiro time delay of light from a quasar passing behind Jupiter. While there is general agreementExpand
The post-Newtonian treatment of the VLBI experiment on September 8, 2002
Abstract Gravitational physics of VLBI experiment conducted on September 8, 2002 and dedicated to measure the speed of gravity (a fundamental constant in the Einstein equations) is treated in theExpand
SPEED OF GRAVITY AND GRAVITOMAGNETISM
A vJ/c correction to the Shapiro time delay seems verified by a 2002 Jovian observation by VLBI. In this Essay, this correction is interpreted as an effect of the aberration of light in an opticallyExpand
The determination of the post-Newtonian parameter γ during the cruise phase of BepiColombo
• Physics
• 2017
The post-Newtonian parameter γ, unity in general relativity, controls the delay and the deflection of photons induced by the space-time curvature produced by any mass. A precise determination of thisExpand
Measurement Method to Determine the Speed of Gravity
We present a method by which we can determine directly the propagation speed of the sun gravitational field. We propose as to attain this objective, to compare the lengthiness of two cosmic distancesExpand
Light propagation in the gravitational field of N arbitrarily moving bodies in the 1.5PN approximation for high-precision astrometry
High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through theExpand
Light propagation in 2 PN approximation in the field of one moving monopole II . Boundary value problem
In this investigation the boundary value problem of light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-NewtonianExpand
Relativistic models for the BepiColombo radioscience experiment
• Physics
• Proceedings of the International Astronomical Union
• 2009
Abstract To test General Relativity with the tracking data of the BepiColombo Mercury orbiter we need relativistic models for the orbits of Mercury and of the Earth, for the light-time and for allExpand

#### References

SHOWING 1-10 OF 22 REFERENCES
Lorentz covariant theory of light propagation in gravitational fields of arbitrary moving bodies
• Physics
• 1999
The Lorentz covariant theory of the propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving pointlike bodies with constant masses ${m}_{a}$Expand
Testing the Relativistic Effect of the Propagation of Gravity by Very Long Baseline Interferometry
It is shown that the finite speed of gravity affects very long baseline interferometric observations of quasars during the time of their line-of-sight close angular encounter with Jupiter. The nextExpand
Theoretical frameworks for testing relativistic gravity. V. Post-Newtonian limit of Rosen's theory
• Physics
• 1976
The post-Newtonian limit of Rosen's theory of gravity is evaluated and is shown to be identical to that of general relativity, except for the PPN parameter ..cap alpha../sub 2/, which is related toExpand
The Light Cone Effect on the Shapiro Time Delay
We investigate the light cone effect on the Shapiro time delay. The extra time delay caused by Jupiter on 2002 September 8 can be measured by advanced very long baseline interferometry. OurExpand
Measurement of Relativistic Orbital Decay in the PSR B1534+12 Binary System
We have made timing observations of binary pulsar PSR B1534+12 with radio telescopes at Arecibo, Green Bank, and Jodrell Bank. By combining our new observations with data collected up to seven yearsExpand
Viking relativity experiment - Verification of signal retardation by solar gravity
Analysis of 14 months of data obtained from radio ranging to the Viking spacecraft verified, to an estimated accuracy of 0.1%, the prediction of the general theory of relativity that the round-tripExpand
Improved constraint on the alpha 1 PPN parameter from lunar motion.
• Physics, Medicine
• Physical review. D, Particles and fields
• 1996
Following previous theoretical suggestions, it is shown that the analysis of the lunar motion provides an improved bound of the former parameter a1 anda2, of which only the latter is strongly constrained today. Expand
Mass for the Graviton
Can we give the graviton a mass? Does it even make sense to speak of a massive graviton? In this essay I shall answer these questions in the affirmative. I shall outline an alternative to EinsteinExpand
A Tighter Test of Local Lorentz Invariance using PSR J2317+1439
• Physics
• 1995
Gravity being a long-range force, one might {\it a priori} expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. The phenomenology ofExpand