Abstract
The analysis of metric parameters for the Nordtvedt effect is described for Rastall-type theories in which the divergence of the energy-momentum tensor may be non-zero. Two particular cases are considered, one which uses the Einstein theory, and the other, the Brans-Dicke theory as models. Previously we have shown that these theories were compatible with all known experiments, excluding the lunar laser ranging experiment, and that they are “metric” theories in terms of the general definition of a metric theory given by Thorne, Lee and Lightman, since they satisfy integral conservation laws. However, since these theories satisfy integral conservation laws, they can have non-zero ζi metric parameters without additional constraints as would be necessary within the more restrictive definition of a metric theory used by Will and later by Lee, Lightman and Ni. Thus, within this generalized post-Newtonian metric theory, the lunar laser ranging experiment does not provide a unique test of the Robertson parameters β and ϒ nor a limit on the Brans-Dicke parameter ω.
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© 1977 D. Reidel Publishing Company, Dordrecht-Holland
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Smalley, L.L. (1977). Consequence of Integral Conservation Laws on Metric Parameters in the Analysis of the Nordtvedt Effect. In: Mulholland, J.D., Burk, C.A., Silverberg, E.C. (eds) Scientific Applications of Lunar Laser Ranging. Astrophysics and Space Science Library, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1208-9_10
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DOI: https://doi.org/10.1007/978-94-010-1208-9_10
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