SU(n) Einstein Yang-Mills fields with spherical symmetry
1991Citations per year
Abstract: (IOP)
For 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.- gauge field theory: SU(N)
- Einstein equation
- symmetry: rotation
- fibre bundle
- boundary condition
- critical phenomena
- black hole
- numerical calculations
References(15)
Figures(0)