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A Brief Remark on Energy Conditions and the Geroch-Jang Theorem

Weatherall, James Owen (2011) A Brief Remark on Energy Conditions and the Geroch-Jang Theorem. [Preprint]

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    Abstract

    The status of the geodesic principle in General Relativity has been a topic of some interest in the recent literature on the foundations of spacetime theories. Part of this discussion has focused on the role that a certain energy condition plays in the proof of a theorem due to Bob Geroch and Pong-Soo Jang ["Motion of a Body in General Relativity." Journal of Mathematical Physics 16(1), (1975)] that can be taken to make precise the claim that the geodesic principle is a theorem, rather than a postulate, of General Relativity. In this brief note, I show, by explicit counterexample, that not only is a weaker energy condition than the one Geroch and Jang state insufficient to prove the theorem, but in fact a condition still stronger than the one that they assume is necessary.


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    Item Type: Preprint
    Keywords: Geroch-Jang theorem; inertial motion; geodesic principle; general relativity
    Subjects: Specific Sciences > Physics > Relativity Theory
    Depositing User: James Owen Weatherall
    Date Deposited: 12 Jun 2011 17:30
    Last Modified: 12 Jun 2011 17:30
    Item ID: 8663
    URI: http://philsci-archive.pitt.edu/id/eprint/8663

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