Significance of `second-order' light propagation experiments in the solar system

Mathematics – Logic

Scientific paper

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Scientific paper

New experiments designed to observe or measure the 0264-9381/13/11A/003/img1-order (second post-Newtonian) modifications of the global speed of light function will as a matter of course also measure the 0264-9381/13/11A/003/img2-order PPN coefficient, 0264-9381/13/11A/003/img3, to one part in 0264-9381/13/11A/003/img4 or better precision. This latter achievement would perhaps be the more scientifically significant, permitting a test of the scenario in which scalar-metric gravitational theories tend toward (without quite reaching) pure `local' general relativity by means of the cosmologically driven dynamics of the background scalar field(s). It is shown, independent of field theory assumptions, that any 0264-9381/13/11A/003/img1 anomaly in the spatial metric component, and consequently in the global speed of light, will quite generally be accompanied by more easily measured 0264-9381/13/11A/003/img2-order anomalies in the same metric field component and the speed function.

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