Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrized effective-one-body formalism for extreme-mass-ratio limits:
  Generic orbits   Compact objects inspiraling into supermassive black holes, known as
extreme-mass-ratio inspirals, are an important source for future space-borne
gravitational-wave detectors. When constructing waveform templates, usually the
adiabatic approximation is employed to treat the compact object as a test
particle for a short duration, and the radiation reaction is reflected in the
changes of the constants of motion. However, the mass of the compact object
should have contributions to the background. In the present paper, employing
the effective-one-body formalism, we analytically calculate the trajectories of
a compact object around a massive Kerr black hole with generally
three-dimensional orbits and express the fundamental orbital frequencies in
explicit forms. In addition, by constructing an approximate "constant" similar
to the Carter constant, we transfer the dynamical quantities such as energy,
angular momentum, and the "Carter constant" to the semilatus rectum,
eccentricity, and orbital inclination with mass-ratio corrections. The linear
mass-ratio terms in the formalism may not be sufficient for accurate waveforms,
but our analytical method for solving the equations of motion could be useful
in various approaches to building waveform models.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an