Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatially Compact Solutions and Stabilization in
  Einstein-Yang-Mills-Higgs Theories   New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs
equations with the Higgs field in the triplet resp. doublet representation are
presented. They form continuous families parametrized by $\alpha=M_W/M_Pl$
($M_W$ resp. $M_Pl$ denoting the W-boson resp. the Planck mass). The
corresponding spacetimes are regular and have spatially compact sections. A
particularly interesting class with the Yang-Mills amplitude being nodeless is
exhibited and is shown to be linearly stable with respect to spherically
symmetric perturbations. For some solutions with nodes of the Yang-Mills
amplitude a new stabilization phenomenon is found, according to which their
unstable modes disappear as $\alpha$ increases (for the triplet) or decreases
(for the doublet).

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat