Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole
  Physics   This paper gives a survey of wave dynamics in the Kerr space-time geometry,
the mathematical model of a rotating black hole in equilibrium. After a brief
introduction to the Kerr metric, we review the separability properties of
linear wave equations for fields of general spin $s=0, 1/2, 1, 2$,
corresponding to scalar, Dirac, electromagnetic fields and linearized
gravitational waves. We give results on the long-time dynamics of Dirac and
scalar waves, including decay rates for massive Dirac fields. For scalar waves,
we give a rigorous treatment of superradiance and describe rigorously a
mechanism of energy extraction from a rotating black hole. Finally, we discuss
the open problem of linear stability of the Kerr metric and present partial
results.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin