Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviation and precession effects in the field of a weak gravitational
  wave   Deviation and precession effects of a bunch of spinning particles in the
field of a weak gravitational plane wave are studied according to the
Mathisson-Papapetrou-Dixon (MPD) model. Before the passage of the wave the
particles are at rest with associated spin vector aligned along a given
direction with constant magnitude. The interaction with the gravitational wave
causes the particles to keep moving on the 2-plane orthogonal to the direction
of propagation of the wave, with the transverse spin vector undergoing
oscillations around the initial orientation. The transport equations for both
the deviation vector an spin vector between two neighboring world lines of such
a congruence are then solved by a suitable extension of the MPD model off the
spinning particle's world line. In order obtain measurable physical quantities
a "laboratory" has been set up by constructing a Fermi coordinate system
attached to a reference world line. The {\it exact} transformation between TT
coordinates and Fermi coordinates is derived too.

29
The categories of this paper are: funct-an
2
The categories of this paper are: math
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio