Unified gauge theory for electromagnetism and gravitation based on twistor bundles

Journal Article · Wed Feb 01 00:00:00 EST 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526128· OSTI ID:5208271

Luehr, C P; Rosenbaum, M

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 Poincare 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 Poincare 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.

• Research Organization: Centro de Estudios Nucleares, Universidad Nacional Autonoma de Mexico, Circuito Exterior, C. U. 04510 Mexico, D.F., Mexico
• OSTI ID: 5208271
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 25:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTROMAGNETISM
FIELD THEORIES
GRAVITATION
GAUGE INVARIANCE
TWISTOR THEORY
INVARIANCE PRINCIPLES
MAGNETISM
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation