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arXiv · 2603.20096

Angular momentum tail contributions to compact binary dynamics

Gabriel Luz Almeida·Alan Müller·Stefano Foffa·Riccardo Sturani
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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.

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Gabriel Luz Almeida, Alan Müller, Stefano Foffa, Riccardo Sturani. 2026-03-20. Angular momentum tail contributions to compact binary dynamics. https://arxiv.org/abs/2603.20096

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