title: Gravitational self-force correction to the innermost stable circular equatorial orbit of a Kerr black hole.
abstract: For a self-gravitating particle of mass μ in orbit around a Kerr black hole of mass M ≫ μ, we compute the O(μ/M) shift in the frequency of the innermost stable circular equatorial orbit 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 innermost stable circular equatorial orbit 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.
authors.affiliation: Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan and Division of Particle and Astrophysical Science, Graduate School of Science, Nagoya University, Nagoya 464-8602, Japan.
authors.forename: Soichiro
authors.initials: S
authors.lastname: Isoyama
authors.affiliation: School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom.
authors.forename: Leor
authors.initials: L
authors.lastname: Barack
authors.affiliation: Consortium for Fundamental Physics, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, United Kingdom.
authors.forename: Sam R
authors.initials: SR
authors.lastname: Dolan
authors.affiliation: Laboratoire Univers et Théories (LUTh), Observatoire de Paris, CNRS, Université Paris Diderot, 5 place Jules Janssen, 92190 Meudon, France.
authors.forename: Alexandre
authors.initials: A
authors.lastname: Le Tiec
authors.affiliation: Department of Physics, Kyoto University, Kyoto 606-8502, Japan and Center for Computational Relativity and Gravitation, Rochester Institute of Technology, Rochester, New York 14623, USA.
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Nakano
authors.affiliation: School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom.
authors.forename: Abhay G
authors.initials: AG
authors.lastname: Shah
authors.affiliation: Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan and Department of Physics, Kyoto University, Kyoto 606-8502, Japan.
authors.forename: Takahiro
authors.initials: T
authors.lastname: Tanaka
authors.affiliation: School of Mathematical Sciences and Complex & Adaptive Systems Laboratory, University College Dublin, Belfield, Dublin 4, Ireland.
authors.forename: Niels
authors.initials: N
authors.lastname: Warburton