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

TL;DR

This paper introduces a gauge-invariant method using scattering holonomy to analyze spin-orbit coupling in binary systems, providing new insights at the first post-Minkowskian order within the effective one-body framework.

Contribution

It presents a novel gauge-invariant approach based on scattering holonomy to compute spin-orbit coupling parameters in binary systems at the first post-Minkowskian order.

Findings

Gyrogravitomagnetic ratios tend to zero in the ultrarelativistic limit.

The approach yields gauge-invariant spin-orbit coupling information.

First post-Minkowskian calculations of spin effects in binary systems.

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.