Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a classification of vacuum near-horizons geometries   We prove uniqueness of the near-horizon geometries arising from degenerate
Kerr black holes within the collection of nearby vacuum near-horizon
geometries.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs