Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gyroscopes orbiting black holes: A frequency-domain approach to
  precession and spin-curvature coupling for spinning bodies on generic Kerr
  orbits   A small body orbiting a black hole follows a trajectory that, at leading
order, is a geodesic of the black hole spacetime. Much effort has gone into
computing "self force" corrections to this motion, arising from the small
body's own contributions to the system's spacetime. Another correction to the
motion arises from coupling of the small body's spin to the black hole's
spacetime curvature. Spin-curvature coupling drives a precession of the small
body, and introduces a "force" (relative to the geodesic) which shifts the
small body's worldline. These effects scale with the small body's spin at
leading order. In this paper, we show that the equations which govern
spin-curvature coupling can be analyzed with a frequency-domain decomposition,
at least to leading order in the small body's spin. We show how to compute the
frequency of precession along generic orbits, and how to describe the small
body's precession and motion in the frequency domain. We illustrate this
approach with a number of examples. This approach is likely to be useful for
understanding spin coupling effects in the extreme mass ratio limit, and may
provide insight into modeling spin effects in the strong field for non-extreme
mass ratios.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th