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Spinor fields at spacelike infinity

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Abstract

The concept of a spinor structure at spacelike infinity is introduced for space-times which are asymptotically flat. It is shown how zero-rest-mass fields on space-time acquire smooth limits on this structure and that these limits satisfy certain differential equations characterized by the helicity and regularity of the field. The geometry of the limits of twistor fields is also discussed, and it seems possible that one can define the momentum and angular momentum of an asymptotically flat space-time in terms of a twistor space at spacelike infinity.

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Shaw, W.T. Spinor fields at spacelike infinity. Gen Relat Gravit 15, 1163–1189 (1983). https://doi.org/10.1007/BF00761582

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  • DOI: https://doi.org/10.1007/BF00761582

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