Read, James and Teh, Nicholas (2018) The Teleparallel Equivalent of Newton-Cartan Gravity. [Preprint]
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Abstract
We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton-Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | Forthcoming in Classical and Quantum Gravity (Letters). | |||||||||
| Keywords: | Newton-Cartan theory; teleparallel gravity; equivalence; null-reduction. | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Relativity Theory |
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| Depositing User: | Dr. James Read | |||||||||
| Date Deposited: | 31 Jul 2018 18:43 | |||||||||
| Last Modified: | 31 Jul 2018 18:43 | |||||||||
| Item ID: | 14910 | |||||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Relativity Theory |
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| Date: | 31 July 2018 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14910 |
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