Generalised Spin Structures in General Relativity

Journal article (2018)

Authors

B. Janssens Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2018 B. Janssens
DOI: https://doi.org/10.1007/s00023-018-0667-5
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Published Date

2018

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

Generalised spin structures describe spinor fields that are coupled to both general relativity and gauge theory. We classify those generalised spin structures for which the corresponding fields admit an infinitesimal action of the space–time diffeomorphism group. This can be seen as a refinement of the classification of generalised spin structures by Avis and Isham (Commun Math Phys 72:103–118, 1980).