Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of radiation reaction effect on orbital parameters in Kerr
  spacetime   We calculate the secular changes of the orbital parameters of a point
particle orbiting a Kerr black hole, due to the gravitational radiation
reaction. For this purpose, we use the post-Newtonian (PN) approximation in the
first order black hole perturbation theory, with the expansion with respect to
the orbital eccentricity. In this work, the calculation is done up to the
fourth post-Newtonian (4PN) order and to the sixth order of the eccentricity,
including the effect of the absorption of gravitational waves by the black
hole. We confirm that, in the Kerr case, the effect of the absorption appears
at the 2.5PN order beyond the leading order in the secular change of the
particle's energy and may induce a superradiance, as known previously for
circular orbits. In addition, we find that the superradiance may be suppressed
when the orbital plane inclines with respect to the equatorial plane of the
central black hole. We also investigate the accuracy of the 4PN formulae by
comparing to numerical results. If we require that the relative errors in the
4PN formulae are less than $10^{-5}$, the parameter region to satisfy the
condition will be $p\gtrsim 50$ for $e=0.1$, $p\gtrsim 80$ for $e=0.4$, and
$p\gtrsim 120$ for $e=0.7$ almost irrespective of the inclination angle nor the
spin of the black hole, where $p$ and $e$ are the semi-latus rectum and the
eccentricity of the orbit. The region can further be extended using an
exponential resummation method to $p\gtrsim 40$ for $e=0.1$, $p\gtrsim 60$ for
$e=0.4$, and $p\gtrsim 100$ for $e=0.7$. Although we still need the higher
order calculations of the PN approximation and the expansion with respect to
the orbital eccentricity to apply for data analysis of gravitational waves, the
results in this paper would be an important improvement from the previous work
at the 2.5PN order, especially for large $p$ region.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: bayes-an