Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of event horizon in axially symmetric spacetime: Classification
  of Maxwell set with symmetry   The crease set of an event horizon is studied in a spacetime with discrete or
continuous symmetry. It determines possible topologies on spatial sections of
an event horizon. We thereby investigate the classification of stable
topological structure of the crease sets in a spacetime with any symmetry. In
practice, we show the classification of the crease set in axially symmetric
spacetime. By that we realize the topological structure of axially symmetric
event horizons. We will finc that many new topological structures become stable
which is not stable without symmetry.

24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org