Abstract
Universal classifying spaces and characteristic classes for O(p,q)-bundles are constructed and applied in the case (p,q) =(1,3) to the Lorentz bundle of a relativistic spacetime. The classes are used to investigate the existence of Uspinor structure on space and time orientable spacetimes, and spinor structures on nonorientable spacetimes.
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Whiston, G.S. Lorentzian characteristic classes. Gen Relat Gravit 6, 463–475 (1975). https://doi.org/10.1007/BF00762451
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DOI: https://doi.org/10.1007/BF00762451