Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Self-Force Correction to the Innermost Stable Circular
  Equatorial Orbit of a Kerr Black Hole   For a self-gravitating particle of mass \mu in orbit around a Kerr black hole
of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the
innermost stable circular equatorial orbit (ISCEO) due to the conservative
piece of the gravitational self-force acting on the particle. Our treatment is
based on a Hamiltonian formulation of the dynamics in terms of geodesic motion
in a certain locally-defined effective smooth spacetime. We recover the same
result using the so-called first law of binary black-hole mechanics. We give
numerical results for the ISCEO frequency shift as a function of the black
hole's spin amplitude, and compare with predictions based on the post-Newtonian
approximation and the effective one-body model. Our results provide an accurate
strong-field benchmark for spin effects in the general relativistic two-body
problem.

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The categories of this paper are: cond-mat
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph