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arXiv · 1010.0379

The Motion of a Body in Newtonian Theories

James Owen Weatherall
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Abstract

A theorem due to Bob Geroch and Pong Soo Jang ["Motion of a Body in General Relativity." Journal of Mathematical Physics 16(1), (1975)] provides the sense in which the geodesic principle has the status of a theorem in General Relativity (GR). Here we show that a similar theorem holds in the context of geometrized Newtonian gravitation (often called Newton-Cartan theory). It follows that in Newtonian gravitation, as in GR, inertial motion can be derived from other central principles of the theory.

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James Owen Weatherall. 2011-06-12. The Motion of a Body in Newtonian Theories. https://doi.org/10.1063/1.3556608

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