We derive Bogomol'nyi equations for an Einstein-Yang-Mills-dilaton-sigma model on a static spacetime, showing that the Einstein equations are satisfied if and only if the associated (conformally scaled) three-metric is Hat. These are precisely the static metrics for which super-covariantly constant spinors exist. We study some general properties of these equations and then consider the problem of obtaining axially symmetric solutions for the gauge group SU(2). [S0556-2821(98)00224-0].
|Number of pages||11|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 15 Dec 1998|
- MONOPOLE SOLUTIONS
- HIGGS SYSTEM