Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational self-force on eccentric equatorial orbits around a Kerr
  black hole   This paper presents the first calculation of the gravitational self-force on
a small compact object on an eccentric equatorial orbit around a Kerr black
hole to first order in the mass-ratio. That is the pointwise correction to the
object's equations of motion (both conservative and dissipative) due to its own
gravitational field treated as a linear perturbation to the background Kerr
spacetime generated by the much larger spinning black hole. The calculation
builds on recent advances on constructing the local metric and self-force from
solutions of the Teukolsky equation, which led to the calculation of the
Detweiler-Barack-Sago redshift invariant on eccentric equatorial orbits around
a Kerr black hole in a previous paper.
  After deriving the necessary expression to obtain the self-force from the
Weyl scalar $\psi_4$, we perform several consistency checks of the method and
numerical implementation, including a check of the balance law relating orbital
average of the self-force to average flux of energy and angular momentum out of
the system. Particular attention is paid to the pointwise convergence
properties of the sum over frequency modes in our method, identifying a
systematic inherent loss of precision that any frequency domain calculation of
the self-force on eccentric orbits must overcome.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an