Regular solutions of the Einstein–Yang–Mills equations

DOI10.1063/1.530963zbMath0847.35140OpenAlexW2011727618MaRDI QIDQ4873280

Arthur G. Wassermann, J. A. Smoller

Publication date: 8 October 1996

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

Full work available at URL: https://doi.org/10.1063/1.530963

zbMATH Keywords

black-hole solutionsEinstein-Yang-Mills equationssymmetric solutionparticlelike solutions

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of quantum field theory in general relativity and gravitational theory (83C47) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (9)

Uniqueness of zero surface gravity SU(2) Einstein–Yang/Mills black holes ⋮ Two-uniqueness of rational ghost soliton solution and well-posedness of perturbed Einstein-Yang-Mills equations ⋮ Limiting masses of solutions of the Einstein-Yang/Mills equations ⋮ On the existence of topological hairy black holes in \(\mathfrak{su}(N)\) EYM theory with a negative cosmological constant ⋮ Dynamical system analysis for the Einstein–Yang–Mills equations ⋮ Reissner–Nordström-like solutions of the SU(2) Einstein–Yang/Mills equations ⋮ Existence of oscillating solutions of Einstein ${SU}(2)$ Yang-Mills equations ⋮ Existence of topological hairy dyons and dyonic black holes in anti-de Sitter 𝔰𝔲(N) Einstein-Yang-Mills theory ⋮ Existence theorems for hairy black holes in su(N) Einstein–Yang–Mills theories

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
• An investigation of the limiting behaviour of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution
• Static spherically symmetric solutions of the Einstein-Yang-Mills equations
• Existence of black hole solutions for the Einstein-Yang/Mills equations
• Spherically symmetric static SU(2) Einstein–Yang–Mills fields
• No-hair theorem for spherical monopoles and dyons in SU(2) Einstein Yang-Mills theory
• On the instability of the n=1 Einstein–Yang–Mills black holes and mathematically related systems
• Colored black holes

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