On the gravitomagnetic time delay

Ciufolini, Ignazio; Kopeikin, Sergei M.; Mashhoon, Bahram; Ricci, F.

doi:10.1016/s0375-9601(02)01804-2

Cited by 55 publications

(69 citation statements)

References 36 publications

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“…Then whatever x B ∈ N xA , there exists a unique geodesic path Γ AB connecting x A and x B . Let us denote by Ω the characteristic function belonging to the Lagrangian (14) adapted to N xA . According to (9) we have…”

Section: Definition and Fundamental Properties Of Synge's World Functionmentioning

confidence: 99%

World function and time transfer: general post-Minkowskian expansions

Poncin-Lafitte

Linet

Teyssandier

2004

Class. Quantum Grav.

167

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Abstract.In suitably chosen domains of space-time, the world function may be a powerful tool for modelling the deflection of light and the time/frequency transfer. In this paper we work out a recursive procedure for expanding the world function into a perturbative series of ascending powers of the Newtonian gravitational constant G. We show rigorously that each perturbation term is given by a line integral taken along the unperturbed geodesic between two points. Once the world function is known, it becomes possible to determine the time transfer functions giving the propagation time of a photon between its emission and its reception. We establish that the direction of a light ray as measured in the 3-space relative to an observer can be derived from these time transfer functions, even if the metric is not stationary. We show how to derive these functions up to any given order in G from the perturbative expansion of the world function. To illustrate the method, we carry out the calculation of the world function and of the time transfer function outside a static, spherically symmetric body up to the order G 2 , the metric containing three arbitrary parameters β, γ, δ.

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Section: Definition and Fundamental Properties Of Synge's World Functionmentioning

confidence: 99%

World function and time transfer: general post-Minkowskian expansions

Poncin-Lafitte

Linet

Teyssandier

2004

Class. Quantum Grav.

167

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“…where ρ is the position vector in the background Minkowski spacetime and GE and GM respectively represent the standard gravitoelectric and gravitomagnetic time delays [15]. Moreover, is the additional time delay due to the cosmological constant.…”

Section: Time Delaymentioning

confidence: 99%

Standard clocks, orbital precession and the cosmological constant

Kerr¹,

Hauck²,

Mashhoon³

2003

Class. Quantum Grav.

112

139

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“…It generates an intrinsic gravimagnetic field tightly associated with body's angular momentum (spin) and most research in gravimagnetism has been focused on the discussion of its various properties [19]. Our recent publications [20,47,52,94] as well as papers by other researchers [2,5,6,17,18,37,39,65,66,68,71,72,77,78,87,89] give a comprehensive review of various aspects of the intrinsic gravimagnetism. It is interesting to note that the intrinsic gravimagnetic field can be associated with the holonomy invariance group [67].…”

Section: Introductionmentioning

confidence: 99%

Gravimagnetism, causality, and aberration of gravity in the gravitational light-ray deflection experiments

Kopeikin

Fomalont

2007

Gen Relativ Gravit

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Experimental verification of the existence of gravimagnetic fields generated by currents of matter is important for a complete understanding and formulation of gravitational physics. Although the rotational (intrinsic) gravimagnetic field has been extensively studied and is now being measured by the Gravity Probe B, the extrinsic gravimagnetic field generated by the translational current of matter is less well studied. The present paper uses the post-Newtonian parametrized Einstein and light geodesics equations to show that the extrinsic gravimagnetic field generated by the translational current of matter can be measured by observing the relativistic time delay and/or light deflection caused by the moving mass. We prove that the extrinsic gravimagnetic field is generated by the relativistic effect of the aberration of the gravity force caused by the Lorentz transformation of the metric tensor and the Levi-Civita connection. We show that the Lorentz transformation of the gravity field variables is equivalent to the technique of the retarded Lienard-Wiechert gravitational potentials predicting that a light particle is deflected by gravitational field of a moving body from its retarded position so that both general-relativistic phenomena-the aberration and the retardation of gravity-are tightly connected and observing the aberration of gravity proves that gravity has a causal nature. We explain in this framework the 2002 deflection experiment of a quasar by Jupiter where the aberration of gravity from its orbital motion was measured with accuracy 20%. We describe a theory of VLBI experiment to measure the gravitational deflection of radio waves from a quasar by

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On the gravitomagnetic time delay

Cited by 55 publications

References 36 publications

World function and time transfer: general post-Minkowskian expansions

World function and time transfer: general post-Minkowskian expansions

Standard clocks, orbital precession and the cosmological constant

Gravimagnetism, causality, and aberration of gravity in the gravitational light-ray deflection experiments

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