Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation, and effective one-body theory

Donato Bini and Thibault Damour
Phys. Rev. D 96, 104038 – Published 22 November 2017

Abstract

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the “scattering holonomy”, i.e. the integration (from the infinite past to the infinite future) of the differential spin evolution along the two worldlines of a binary system in hyperboliclike motion. We apply this approach to the computation, at the first post-Minkowskian approximation (i.e. first order in G and all orders in v/c), of the values of the two gyrogravitomagnetic ratios describing spin-orbit coupling in the effective one-body formalism. These gyrogravitomagnetic ratios are found to tend to zero in the ultrarelativistic limit.

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  • Received 2 September 2017

DOI:https://doi.org/10.1103/PhysRevD.96.104038

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Donato Bini1 and Thibault Damour2

  • 1Istituto per le Applicazioni del Calcolo “M. Picone”, CNR, I-00185 Rome, Italy
  • 2Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette, France

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Issue

Vol. 96, Iss. 10 — 15 November 2017

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