Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An axially symmetric spacetime with causality violation   We present an axially symmetric spacetime which contains closed timelike
curves, and hence violates the causality condition. The metric belongs to type
III in the Petrov classification scheme with vanishing expansion, shear and
twist. The matter-energy represents a pure radiation field with a negative
cosmological constant. The spacetime is asymptotically anti-de Sitter space in
the radial direction.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph