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arXiv · 1807.11779

The Teleparallel Equivalent of Newton-Cartan Gravity

James Read·Nicholas Teh
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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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James Read, Nicholas Teh. 2018-07-31. The Teleparallel Equivalent of Newton-Cartan Gravity. https://doi.org/10.1088/1361-6382%2Faad70d

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