Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unbound motion on a Schwarzschild background: Practical approaches to
  frequency domain computations   Gravitational perturbations due to a point particle moving on a static black
hole background are naturally described in Regge-Wheeler gauge. The first-order
field equations reduce to a single master wave equation for each radiative
mode. The master function satisfying this wave equation is a linear combination
of the metric perturbation amplitudes with a source term arising from the
stress-energy tensor of the point particle. The original master functions were
found by Regge and Wheeler (odd parity) and Zerilli (even parity). Subsequent
work by Moncrief and then Cunningham, Price and Moncrief introduced new master
variables which allow time domain reconstruction of the metric perturbation
amplitudes. Here I explore the relationship between these different functions
and develop a general procedure for deriving new higher-order master functions
from ones already known. The benefit of higher-order functions is that their
source terms always converge faster at large distance than their lower-order
counterparts. This makes for a dramatic improvement in both the speed and
accuracy of frequency domain codes when analyzing unbound motion.

11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an