Angular momentum tail contributions to compact binary dynamics

TL;DR

This paper derives the effective action for compact binary systems considering angular momentum tail effects, revealing contributions at sixth post-Newtonian order and providing explicit expressions for radiative multipole moments.

Contribution

It introduces a comprehensive derivation of tail contributions involving angular momentum multipoles up to octupoles, extending previous models of binary dynamics.

Findings

Angular momentum tail effects contribute at sixth post-Newtonian order.

Explicit expressions for radiative multipole moments with angular momentum tails.

General derivation applicable to arbitrary angular momentum tail processes.

Abstract

We derive the effective action governing the dynamics of a compact binary system when gravitational radiation is emitted by any mass or current multipole, scattered by the quasi-static field associated with the binary's angular momentum, and then reabsorbed. Among such angular momentum failed-tail processes, the ones involving multipole moments up to mass and current octupoles, which mix also with quadrupoles of opposite parity, contribute to the system dynamics at sixth post-Newtonian order; we display these terms explicitly as a particular case of our general derivation. Additionally, we derive the radiative multipole moments associated to arbitrary angular momentum failed-tails in emission processes.