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Title: The Teleparallel Equivalent of Newton-Cartan Gravity
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.
Authors:
;
Award ID(s):
1734155
Publication Date:
NSF-PAR ID:
10108282
Journal Name:
Classical and quantum gravity
ISSN:
1361-6382
Sponsoring Org:
National Science Foundation
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