Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New class of exact solutions to Einstein-Maxwell-dilaton theory on
  four-dimensional Bianchi type IX geometry   We construct new classes of cosmological solution to the five dimensional
Einstein-Maxwell-dilaton theory, that are non-stationary and almost conformally
regular everywhere. The base geometry for the solutions is the four-dimensional
Bianchi type IX geometry. In the theory, the dilaton field is coupled to the
electromagnetic field and the cosmological constant term, with two different
coupling constants. We consider all possible solutions with different values of
the coupling constants, where the cosmological constant takes any positive,
negative or zero values. In the ansatzes for the metric, dilaton and
electromagnetic fields, we consider dependence on time and two spatial
directions. We also consider a special case of the Bianchi type IX geometry, in
which the geometry reduces to that of Eguchi-Hanson type II geometry and find a
more general solution to the theory.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas