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The Teleparallel Equivalent of Newton-Cartan Gravity

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
Creators:
CreatorsEmailORCID
Read, Jamesjames.read@philosophy.ox.ac.uk
Teh, Nicholasnteh@nd.edu
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
Depositing User: Mr. 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
Date: 31 July 2018
URI: http://philsci-archive.pitt.edu/id/eprint/14910

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