Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Gravity Corrections in Fundamental Orbital Frequencies in Kerr
  Spacetime   As a first step towards the calculation of waveform of Extreme Mass Ratio
Inspirals for Modified Gravity theories, we calculate the orbital frequencies
of a Small Compact Object inspiralling into a super massive blackhole for a
Nonlocal gravity model. The small compact object moves along an orbit which can
be approximated to a geodesic of the background spacetime due to large mass
ratio of central blackhole to Small Compact Object. In General Relativity, the
fundamental orbital frequencies $\Omega_r,\;\Omega_{\theta}$ and
$\Omega_{\phi}$ can be calculated by solving geodesic equations of the Kerr
metric. If we formulate any modified gravity theory as a small correction in
General Relativity then the spacetime metric around a rotating blackhole in
that theory can be considered as the Kerr metric with small deformations. This
would allow us to calculate fundamental frequencies of geodetic motion of the
orbiting object perturbatively i.e. as Kerr frequencies plus small shifts in
Kerr frequencies coming from the modified gravity part. Using Action-angle
formalism and canonical perturbation theory I calculate the frequency shifts
with respect to Kerr frequencies of the orbital motion around a rotating
blackhole for RR model of Nonlocal gravity theory.

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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat