Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions:
  I.Regular Solutions   We discuss the static axially symmetric regular solutions, obtained recently
in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory [1]. These
asymptotically flat solutions are characterized by the winding number $n>1$ and
the node number $k$ of the purely magnetic gauge field. The well-known
spherically symmetric solutions have winding number $n=1$. The axially
symmetric solutions satisfy the same relations between the metric and the
dilaton field as their spherically symmetric counterparts. Exhibiting a strong
peak along the $\rho$-axis, the energy density of the matter fields of the
axially symmetric solutions has a torus-like shape. For fixed winding number
$n$ with increasing node number $k$ the solutions form sequences. The sequences
of magnetically neutral non-abelian axially symmetric regular solutions with
winding number $n$ tend to magnetically charged abelian spherically symmetric
limiting solutions, corresponding to ``extremal'' Einstein-Maxwell-dilaton
solutions for finite values of $\gamma$ and to extremal Reissner-Nordstr\o m
solutions for $\gamma=0$, with $n$ units of magnetic charge.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg