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Gravitomagnetism and the Lorentz Invariance of Gravity in the Gravitational Light-Ray Deflection Experiments | | Sergei M. Kopeikin
; Edward B. Fomalont
; | | Date: |
16 Oct 2005 | | Affiliation: | University of Missouri-Columbia, USA) and Edward B. Fomalont (National Radio Astronomy Observatory, USA | | Abstract: | Experimental verification of the existence of gravitomagnetic fields generated by currents of matter is important for a complete understanding and formulation of gravitational physics. Although the rotational (intrinsic) gravitomagnetic field has been extensively studied and is now being measured by the Gravity Probe B, the extrinsic gravitomagnetic field generated by the translational current of matter is less well studied. The present paper introduces a fundamental speed of gravity parameter and uses the parametrized Einstein and light geodesics equations to show that the extrinsic gravitomagnetic field generated by the translational current of matter can be measured by observing the relativistic time delay caused by the moving object. We prove that the extrinsic gravitomagnetic field is measured 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 applied these concepts to 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 2005 experiment to measure the gravitational deflection of radio waves from a quasar by the sun, as viewed in the geocentric frame, to improve the measurement accuracy of the aberration of gravity - hence the fundamental speed of gravity - to a few percent. | | Source: | arXiv, gr-qc/0510077 | | Services: | Forum | Review | PDF | Favorites | |
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