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In a recent paper [1], motivated by forthcoming space experiments involvingpropagation of light in the Solar System, we have proposed an extention of theIAU metric equations at the c-4 level in General Relativity. However,scalar-tensor theories may induce corrections numerically comparable to the c-4general relativistic terms. Accordingly, one first proposes in this paper anextension of [1] to the scalar-tensor case. The case of a hierarchized system(such as the Solar system) is emphasized. In this case, the relevant metricsolution is proposed. Then, the geodesic solution relevant for propagation oflight in the inner solar system at the millimetric level is given in explicitform.

Scalar-tensor propagation of light in the inner solar system at the millimetric level