Guillaume Faye, "Radiation reaction effects in the dynamics of compact binaries at the fourth and a half post-Newtonian order"

Tuesday Mar 11, 2025, 4:00 PM → 6:00 PM Asia/Seoul

447-1 (IBS CTPU-CGA)

Compact binaries constitute the main sources for the first generations of gravitational-wave detectors. To extract physical information from the ensuing signal, we must model the theoretical waveforms to very high accuracy, typically beyond the third post-
Newtonian (PN) order of general relativity. In this context, we investigate the radiation-reaction effects affecting the companion dynamics at the 4.5PN order, using an appropriate extension of the Burke-Thorne coordinate system. This allows us to proof the validity of the PN balance equations for the ten integrals of motion, at the 2PN approximation. We point out that the relative acceleration, as given in the center-of-mass frame, contains non-local-in-time contributions, which have been overlooked in the past literature.