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The teleparallel equivalent of Newton-Cartan gravity

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/1361-6382/aad70d

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Institution:
University of Oxford
Division:
Humanities Division
Department:
Philosophy
Oxford college:
Pembroke College
Role:
Author
ORCID:
0000-0003-2226-0340
More from this funder
Funding agency for:
Read, J
Grant:
56314
More from this funder
Funding agency for:
Read, J
Grant:
56314
Publisher:
IOP Publishing Publisher's website
Journal:
Classical and Quantum Gravity Journal website
Volume:
35
Issue:
18
Article number:
18LT01
Publication date:
2018-08-21
Acceptance date:
2018-07-31
DOI:
EISSN:
1361-6382
ISSN:
0264-9381
Keywords:
Pubs id:
pubs:929140
UUID:
uuid:38983d84-80a9-4800-b7b1-760d84eb2096
Local pid:
pubs:929140
Source identifiers:
929140
Deposit date:
2018-10-18

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