Comments on the Non-Commutative Description of Classical Gravity

Show simple item record Stern, Allen
dc.contributor.other University of Alabama Tuscaloosa 2019-07-31T14:12:46Z 2019-07-31T14:12:46Z 1998-11-26
dc.identifier.citation Bimonte, G., Musto, R., Stern, A., Vitale, P. (1998): Comments on the Non-Commutative Description of Classical Gravity. Physics Letters B, 441(1-4). DOI:
dc.description.abstract We find a one-parameter family of Lagrangian descriptions for classical general relativity in terms of tetrads which are not c-numbers. Rather, they obey exotic commutation relations. These noncommutative properties drop out in the metric sector of the theory, where the Christoffel symbols and the Riemann tensor are ordinary commuting objects and they are given by the usual expression in terms of the metric tensor. Although the metric tensor is not a c-number, we argue that all measurements one can make in this theory are associated with c-numbers, and thus that the common invariant sector of our one-parameter family of deformed gauge theories (for the case of zero torsion) is physically equivalent to Einstein's general relativity. en_US
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.subject classical gravity
dc.subject classical general relativity
dc.title Comments on the Non-Commutative Description of Classical Gravity en_US
dc.type text
dc.identifier.doi 10.1016/S0370-2693(98)01200-3

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