Geroch, Robert and Weatherall, James Owen (2018) The Motion of Small Bodies in Space-time. [Preprint]
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Abstract
We consider the motion of small bodies in general relativity. The key result captures a sense in which such bodies follow timelike geodesics (or, in the case of charged bodies, Lorentz-force curves). This result clarifies the relationship between approaches that model such bodies as distributions supported on a curve, and those that employ smooth fields supported in small neighborhoods of a curve. This result also applies to "bodies" constructed from wave packets of Maxwell or Klein-Gordon fields. There follows a simple and precise formulation of the optical limit for Maxwell fields.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | Forthcoming in Communications in Mathematical Physics | |||||||||
| Keywords: | general relativity, Klein-Gordon fields, Maxwell equations, geodesic principle, Lorentz force law, tracking, no superluminal propagation | |||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | James Owen Weatherall | |||||||||
| Date Deposited: | 03 Sep 2018 14:26 | |||||||||
| Last Modified: | 03 Sep 2018 14:26 | |||||||||
| Item ID: | 14998 | |||||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Date: | 2018 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14998 |
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The Motion of Small Bodies in Space-time. (deposited 14 Jul 2017 15:09)
- The Motion of Small Bodies in Space-time. (deposited 03 Sep 2018 14:26) [Currently Displayed]
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