Gravitational Interaction of Spinning Bodies, Center-of-Mass Coordinate and Radiation of Compact Binary Systems

TL;DR

This paper analyzes spin-related gravitational effects in binary systems, proposing a new approach to defining the center-of-mass coordinate and revealing novel nonlinear spin effects in gravitational radiation.

Contribution

It introduces a new technique for treating spin effects in gravitational interactions and provides a corrected spin-orbit term differing from previous studies.

Findings

New definition of the center-of-mass coordinate.

Corrected spin-orbit interaction result.

Identification of nonlinear spin effects in gravitational radiation.

Abstract

Spin-orbit and spin-spin effects in the gravitational interaction are treated in a close analogy with the fine and hyperfine interactions in atoms. The proper definition of the cener-of-mass coordinate is discussed. The technique developed is applied then to the gravitational radiation of compact binary stars. Our result for the spin-orbit correction differs from that obtained by other authors. New effects possible for the motion of a spinning particle in a gravitational field are pointed out. The corresponding corrections, nonlinear in spin, are in principle of the same order of magnitude as the ordinary spin-spin interaction.