Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear stability of Schwarzschild spacetime subject to axial
  perturbations   In this paper, we address the issue of linear stability of Schwarzschild
space- time subject to certain axisymmetric perturbations. In particular, we
prove that associ- ated solutions to the linearized vacuum Einstein equations
centered at a Schwarzschild metric, with suitably regular initial data, decay
to a linearized Kerr metric. Our method employs a complex line bundle
interpretation applied to a connection-level object, allow- ing for direct
analysis of this connection-level object by the linearized Einstein equations,
in contrast with the recent breakthrough of Dafermos-Holzegel-Rodnianski.

4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph