Dewar, Neil and Weatherall, James Owen (2017) On Gravitational Energy in Newtonian Theories. [Preprint]
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Abstract
There are well-known problems associated with the idea of (local) gravitational energy in general relativity. We offer a new perspective on those problems by comparison with Newtonian gravitation, and particularly geometrized Newtonian gravitation (i.e., Newton-Cartan theory). We show that there is a natural candidate for the energy density of a Newtonian gravitational field. But we observe that this quantity is gauge dependent, and that it cannot be defined in the geometrized (gauge-free) theory without introducing further structure. We then address a potential response by showing that there is an analogue to the Weyl tensor in geometrized Newtonian gravitation.
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| Item Type: | Preprint | |||||||||
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| Keywords: | Newton-Cartan theory; gravitational energy; geometrized Newtonian gravitation; Newtonian gravitation; Newtonian Weyl tensor | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | James Owen Weatherall | |||||||||
| Date Deposited: | 04 Jul 2017 20:29 | |||||||||
| Last Modified: | 04 Jul 2017 20:29 | |||||||||
| Item ID: | 13177 | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory |
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| Date: | 2017 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/13177 |
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