Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Twisting and Twisting Solutions of the Einstein Field Equations of a
  Skyrmionic String   We construct non-linear sigma model plus Skyrme term (Skyrme model) with a
twist in the gravitational field. We try to solve the Einstein field equations
for small and large values of $r$, with and without twist. We prove that no
non-twisting or twisting solutions extending from $r=0$ to $r=\infty$ exist. At
last, we try to solve non-twisting and twisting solutions of the Einstein field
equations with a finite radius. We find that there are no solutions with a
finite radius that can satisfy the junction conditions at the boundary radius
$r=r_b$, where $r_b$ is a finite radius.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph