H P Kunzle 1991 Class. Quantum Grav. 8 2283 doi:10.1088/0264-9381/8/12/013
H P Kunzle
Show affiliationsFor all possible actions of SU(2) on SU(n)-principal bundles over spacetime the corresponding reduced Einstein-Yang-Mills equations are derived. These actions are classified by sets of n integers with sum zero. Only the case where some of these integers have a difference of two leads to interesting equations that may have solutions generalizing the discrete sequence of regular solutions found by Bartnik and McKinnon (1988). For actions when no two integers differ by two the underlying spacetime metric is necessarily Reissner-Nordstrom.
11.30.Ly Other internal and higher symmetries
02.40.-k Geometry, differential geometry, and topology
04.20.Gz Spacetime topology, causal structure, spinor structure
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
51A10 Homomorphism, automorphism and dualities
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 12 (December 1991)
H P Kunzle 1991 Class. Quantum Grav. 8 2283
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