Spin effects in radiating compact binaries

TL;DR

This paper reviews how spins in compact binary systems affect their motion and gravitational wave emission, providing a detailed post-Newtonian analysis including spin-orbit and spin-spin effects up to 1.5 order.

Contribution

It introduces a method to compute secular changes in binary motion and gravitational radiation considering spins, extending previous models to include spin effects at 1.5 post-Newtonian order.

Findings

Spin-orbit effects significantly influence binary evolution.

Spin-spin interactions contribute at 1.5 post-Newtonian order.

The approach allows evolution of motion constants and angular variables under radiation reaction.

Abstract

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes in the post-Newtonian motion and the averaged radiative losses. Our description is valid to 1.5 post-Newtonian order. All spin-orbit and some spin-spin effects are considered which contribute at this accuracy. This approach enabled us to give both the evolutions of the constants of the nonradiative motion and of the relevant angular variables under radiation reaction.