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Spinors and torsion in general relativity

Journal Article · · Found. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01906181· OSTI ID:6043536
Conformal rescalings of spinors are considered, in which the factor ..cap omega.., in epsilon/sub AB/..--> cap omega..epsilon/sub AB/, is allowed to be complex. It is argued that such rescalings naturally lead to the presence of torsion in the space-time derivative del/sub a/. It is further shown that, in standard general relativity, a circularly polarized gravitational wave produces a (nonlocal) rotation effect along rays intersecting it similar to, and apparently consistent with, the local torsion of the Einstein-Cartan-Sciama-Kibble theory. The results of these deliberations are suggestive rather than conclusive.
Research Organization:
Mathematical Institute, Oxford, England
OSTI ID:
6043536
Journal Information:
Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 13:3; ISSN FNDPA
Country of Publication:
United States
Language:
English

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