Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cylindrically symmetric non-aligned Einstein-Maxwell solutions with
  rotation and pseudorotation of the types O and N   A new solution to the Einstein-Maxwell field equations is presented
describing a cylindrically symmetric homogeneous cosmology. The solution is
conformally flat, it possesses seven Killing vectors of which the timelike one
is rotating and one of the spacelike, pseudorotating. Our solution also admits
a Kerr-Schild form. It is alternatively produced by different electromagnetic
sources some of which represent constant null electromagnetic fields, while the
others, a circularly polarized plane electromagnetic wave (seemingly, a unique
situation in general relativity). The concrete electromagnetic four-potentials
are found from the assumption that they are proportional to the Killing
covectors. The general solution is obtained for timelike and null geodesics.
Finally, we find that this space-time admits closed timelike non-geodesic
lines.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga