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The Motion of a Body in Newtonian Theories

Weatherall, James Owen (2010) The Motion of a Body in Newtonian Theories. [Preprint]

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    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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    Item Type: Preprint
    Keywords: inertial motion geodesic principle Newton-Cartan theory geometrized Newtonian gravitation
    Subjects: Specific Sciences > Physics > Classical Physics
    Specific Sciences > Physics > Relativity Theory
    Specific Sciences > Physics
    Depositing User: James Owen Weatherall
    Date Deposited: 03 Oct 2010
    Last Modified: 10 Jun 2011 20:02
    Item ID: 5569

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