Newton-Cartan theory with preferred vector field and perihelion shift

Physics

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Scientific paper

In the framework of the prerelativistic Newton-Cartan theory supplemented by a preferred timelike vector field we obtain a gravitational potential describing properly the observed perihelion shift of Mercury and leading to a gravitational radius for a spherically symmetric body.
Discussions with A. Dimakis and F. Müller-Hoissen, 0Göttingen, have been very helpful.

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