Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical system analysis for the Einstein-Yang-Mills equations   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.

20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph