A generalized Birkhoff theorem for the Einstein–Yang–Mills system

DOI10.1063/1.530126zbMath0787.53069OpenAlexW1982474689MaRDI QIDQ4203222

Norbert Straumann, Othmar Brodbeck

Publication date: 8 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530126

zbMATH Keywords

Birkhoff theoremspherical symmetricReissner-Nordstrøm form

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (13)

Analysis of the static spherically symmetric SU\((n)\)-Einstein-Yang-Mills equations ⋮ On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ Self-gravitating Yang–Mills solitons and their Chern–Simons numbers ⋮ Stationary black holes: Uniqueness and beyond ⋮ There are no magnetically charged particle-like solutions of the Einstein Yang-Mills equations for models with an Abelian residual group ⋮ The structure of spherically symmetric su(n) Yang–Mills fields ⋮ Cosmological Einstein–Yang–Mills equations ⋮ On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups ⋮ Spherical symmetry of generalized EYMH fields ⋮ Spherically symmetric Einstein-Yang-Mills-Higgs fields for general compact gauge groups ⋮ Classical Yang–Mills Black Hole Hair in Anti-de Sitter Space ⋮ Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations ⋮ Stationary black holes: uniqueness and beyond

Cites Work

• Smooth static solutions of the Einstein/Yang-Mills equations
• Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations
• Black holes in magnetic monopoles
• On Invariant Connections over a Principal Fibre Bundle
• SU(n)-Einstein-Yang-Mills fields with spherical symmetry
• Spherically symmetric static SU(2) Einstein–Yang–Mills fields
• Group actions on principal bundles and invariance conditions for gauge fields
• On the instability of the n=1 Einstein–Yang–Mills black holes and mathematically related systems
• Black holes with hair
• Colored black holes

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