Dynamical system analysis for the Einstein-Yang-Mills equations
General Relativity and Quantum Cosmology
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/9906024,
title = {Dynamical system analysis for the Einstein-Yang-Mills equations},
author = {M. Yu. Zotov},
journal= {arXiv preprint arXiv:gr-qc/9906024},
year = {2009}
}
Comments
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