Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime

Donato Bini, Thibault Damour, Andrea Geralico, Chris Kavanagh, and Maarten van de Meent
Phys. Rev. D 98, 104062 – Published 30 November 2018

Abstract

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post-Newtonian expansions for the gauge invariant precession function along circular geodesics valid for an arbitrary Kerr spin parameter and show agreement between these results and those derived from the full post-Newtonian conservative dynamics. Finally we present strong field numerical data for a range of the Kerr spin parameter, showing agreement with the gravitational self-force–post-Newtonian results, and the expected lightring divergent behavior. These results provide useful testing benchmarks for self-force calculations in Kerr spacetime, and provide an avenue for translating self-force data into the spin-spin coupling in effective-one-body models.

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  • Received 11 September 2018

DOI:https://doi.org/10.1103/PhysRevD.98.104062

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Donato Bini1, Thibault Damour2, Andrea Geralico3, Chris Kavanagh2, and Maarten van de Meent4

  • 1Istituto per le Applicazioni del Calcolo “M. Picone,” CNR, I-00185 Rome, Italy, and National Institute of Nuclear Physics, Section of Roma Tre, Rome, Italy
  • 2Institut des Hautes Études Scientifiques, F-91440 Bures-sur-Yvette, France
  • 3Istituto per le Applicazioni del Calcolo “M. Picone,” CNR, I-00185 Rome, Italy
  • 4Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-14476 Golm, Germany, and Mathematical Sciences, University of Southampton, SO17 1BJ Southampton, United Kingdom

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Issue

Vol. 98, Iss. 10 — 15 November 2018

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