The Motion of a Body in Newtonian Theories

Details The Motion of a Body in Newtonian Theories The Motion of a Body in Newtonian Theories

2010-10-03

arxiv.org/abs/1010.0379v3

J.Math.Phys.52: 032502,2011

Physics

Mathematical Physics

12 pages, 1 figure. This is the version that appeared in JMP; it is only slightly changed from the previous version, to reflec

Scientific paper

10.1063/1.3556608

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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