Unified gauge theory for electromagnetism and gravitation based on twistor bundles

A unified gauge theory of the combined gravitational and electromagnetic fields is obtained by two different procedures using twistors as a starting point for the construction of the appropriate bundles. One of these formalisms is obtained by relaxing the conditions on the structure of a twistor bun...

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Bibliographic Details
Published in:Journal of mathematical physics 1984-02, Vol.25 (2), p.380-387
Main Authors: Luehr, C. P., Rosenbaum, M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Gravity in more than four dimensions, kaluza-klein theory, unified field theories
alternative theories of gravity
Physics
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Summary:A unified gauge theory of the combined gravitational and electromagnetic fields is obtained by two different procedures using twistors as a starting point for the construction of the appropriate bundles. One of these formalisms is obtained by relaxing the conditions on the structure of a twistor bundle theory previously developed by the authors for the Poincaré group as the structure group. The other formalism is based on a tensor product bundle and can be readily extended to include structure groups involving direct products of nonabelian groups with the Poincaré group. The results of the theory are compared with those obtained in projective theories of the generalized Jordan–Kaluza–Klein type, and some of the essential differences are pointed out.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.526128