Gibbons, G.W. and Gielen, S. orcid.org/0000-0002-8653-5430 (2009) Deformed general relativity and torsion. Classical and Quantum Gravity, 26 (13). ISSN 0264-9381
Abstract
We argue that the natural framework for embedding the ideas of deformed, or doubly, special relativity (DSR) into a curved spacetime is a generalization of Einstein–Cartan theory, considered by Stelle and West. Instead of interpreting the noncommuting 'spacetime coordinates' of the Snyder algebra as endowing spacetime with a fundamentally noncommutative structure, we are led to consider a connection with torsion in this framework. This may lead to the usual ambiguities in minimal coupling. We note that observable violations of charge conservation induced by torsion should happen on a timescale of 103 s, which seems to rule out these modifications as a serious theory. Our considerations show, however, that the noncommutativity of translations in the Snyder algebra need not correspond to noncommutative spacetime in the usual sense.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2009 IOP Publishing Ltd. This is an author-produced version of a paper subsequently published in Classical and Quantum Gravity. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | doubly special relativity; Cartan geometry; Einstein-Cartan theory; torsion; noncommutative geometry |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 08 Oct 2019 09:29 |
Last Modified: | 10 Oct 2019 04:32 |
Status: | Published |
Publisher: | IOP Publishing |
Refereed: | Yes |
Identification Number: | 10.1088/0264-9381/26/13/135005 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:151736 |