Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in
  various signatures   Most known four-dimensional cohomogeneity-one Einstein metrics are diagonal
in the basis defined by the left-invariant one-forms, though some essentially
non-diagonal ones are known. We consider the problem of explicitly seeking
non-diagonal Einstein metrics, and we find solutions which in some cases
exhaust the possibilities. In particular we construct new examples of neutral
signature non--diagonal Bianchi type VIII Einstein metrics with self--dual Weyl
tensor.

37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat