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General Relativity and Gravitation

, Volume 5, Issue 2, pp 163–167 | Cite as

Spinors without spin structure

  • C. J. S. Clarke
Research Articles

Abstract

A class of space-times without spin-structure is discussed. It is shown that these space-times admit a globally defined structure which is locally equivalent to a spin structure. ‘Generalised spinors’ can be defined, locally indistinguishable from ordinary spinors, which suffice for defining particle fields.

Keywords

Differential Geometry Spin Structure Particle Field Ordinary Spinor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Geroch, R. (1968).J. Math. Phys.,9, 1739; (1970).J. Math. Phys.,11, 343.Google Scholar
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    Penrose, R. (1968). InBatelle Rencontres, (eds. DeWitt, B.S. and Wheeler, J.A.), (W. A. Benjamin, Inc., New York).Google Scholar
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    Clarke, C.J.S. (1971).Gen. Rel. Grav.,2, 43.Google Scholar
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    Trautman, A. (1970).Rep. Math. Phys.,1, 29.Google Scholar

Copyright information

© Plenum Publishing Company Limited 1974

Authors and Affiliations

  • C. J. S. Clarke
    • 1
  1. 1.1. Institut fur Theoretische PhysikHamburg 36BRD

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