Dynamical system analysis for the Einstein–Yang–Mills equations

DOI10.1063/1.533379zbMath0981.83007arXivgr-qc/9906024OpenAlexW3106204000MaRDI QIDQ2738083

M. Yu. Zotov

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9906024

zbMATH Keywords

dynamical systemEinstein-Yang-Mills equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Cites Work

• Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations
• Extendability of 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
• On the limiting solution of the Bartnik-McKinnon family
• Limiting masses of 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
• Reissner–Nordström-like solutions of the SU(2) Einstein–Yang/Mills equations
• Regular solutions of the Einstein–Yang–Mills equations