Self-gravitating Yang–Mills solitons and their Chern–Simons numbers

DOI10.1063/1.530620zbMath0802.53025arXivgr-qc/9308028OpenAlexW3101899061MaRDI QIDQ4298600

Othmar Brodbeck, Norbert Straumann

Publication date: 8 August 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9308028

zbMATH Keywords

spherically symmetric solutionsEinstein-Yang-Mills systemChern-Simons numbers

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (4)

On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ There are no magnetically charged particle-like solutions of the Einstein Yang-Mills equations for models with an Abelian residual group ⋮ On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations

Cites Work

• Symmetry of Einstein-Yang-Mills systems and dimensional reduction
• Semisimple subalgebras of semisimple Lie algebras
• On Invariant Connections over a Principal Fibre Bundle
• Group actions on principal bundles and invariance conditions for gauge fields
• No-hair theorem for spherical monopoles and dyons in SU(2) Einstein Yang-Mills theory
• A generalized Birkhoff theorem for the Einstein–Yang–Mills system

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