English

Gravitational memory contributions to waveform and effective action

General Relativity and Quantum Cosmology 2025-06-23 v2

Abstract

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we emphasize the role of radiation-reaction terms, which affect the energy-momentum balance between source and radiation. An in-in effective action is then derived along the same principles and it is shown to provide energy and angular momentum balance equations in agreement with the corresponding fluxes carried at infinity by gravitational radiation.

Keywords

Cite

@article{arxiv.2410.10565,
  title  = {Gravitational memory contributions to waveform and effective action},
  author = {Gabriel Luz Almeida and Alan Müller and Stefano Foffa and Riccardo Sturani},
  journal= {arXiv preprint arXiv:2410.10565},
  year   = {2025}
}

Comments

22 pages, 6 figures. In v2 extensive rewriting of the "Leading order results" section (including the radiation reaction in different gauges), as well as more exhaustive comparison of the waveform with the literature

R2 v1 2026-06-28T19:20:42.421Z