2005/12/15 by H. P. Künzle, H. P. Kunzle, Todd A. Oliynyk · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1016/j.geomphys.2005.10.011
published as J.Geom.Phys.56:1856-1874,2006 · May differ slightly from the published version
openalex publication_date 2005/12/15 · arxiv created 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The possible actions of symmetry groups on generalized Higgs fields coupled to an Einstein-Yang-Mills field are studied with differential geometrical techniques involving principal and associated bundles. A classification of conjugacy classes of these actions and the form of the corresponding invariant Einstein-Yang-Mills-Higgs (EYMH) fields is obtained and then applied to the case of static spherically symmetric fields over four dimensional space-time. The representations of the gauge group for which spherically symmetric Higgs fields exist are identified and the set of all field equations for the independent functions that describe these fields is analyzed and the corresponding ordinary system of differential equations is derived and shown to be consistent.