Dynamical system analysis for the Einstein-Yang-Mills equations

Abstract

Local solutions of the static, spherically symmetric Einstein-Yang-Mills (EYM) equations with SU(2) gauge group are studied on the basis of dynamical systems methods. This approach enables us to classify EYM solutions in the origin neighborhood, to prove the existence of solutions with the oscillating metric as well as the existence of local solutions for all known formal power series expansions, to study the extendibility of solutions, and to find two new local singular solutions.

25 pages with 2 figures; v.2: subsec. V.B partially revised, minor style and grammar changes in the rest of the text; the main result unchanged

References in corpus (4)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Reissner-Nordstrom-like solutions of the SU(2) Einstein-Yang/Mills (EYM) equations
• Singularities inside non-Abelian black holes
• Investigation of the Interior of Colored Black Holes and the Extendability of Solutions of the Einstein-Yang/Mills Equations