Spin-orbit precession along eccentric orbits: improving the knowledge of self-force corrections and of their effective-one-body counterparts

TL;DR

This paper calculates first-order gravitational self-force corrections to spin-orbit precession for eccentric orbits around a Schwarzschild black hole, enhancing theoretical models and deriving new post-Newtonian terms in the effective-one-body framework.

Contribution

It provides high-order post-Newtonian calculations of self-force effects on spin precession and translates these into improved effective-one-body descriptions.

Findings

Self-force correction computed through ninth post-Newtonian order.

New post-Newtonian terms identified in the gyrogravitomagnetic ratio g_{S*}.

Enhanced understanding of spin-orbit interactions in eccentric orbits.

Abstract

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving recent results by Kavanagh et al. [Phys.\ Rev.\ D {\bf 96}, 064012 (2017).] This information is then converted into its corresponding Effective-One-Body counterpart, thereby determining several new post-Newtonian terms in the gyrogravitomagnetic ratio $g_{S*}$.