Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order
General Relativity and Quantum Cosmology2023-10-03v4Cosmology and Nongalactic AstrophysicsHigh Energy Astrophysical PhenomenaHigh Energy Physics - Theory
The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode (ℓ, m) = (2, 2) is obtained at 4PN order. We also provide the radiated flux, as well as the phase in the stationary phase approximation. Rough numerical estimates for the contribution of each PN order are provided for typical systems observed by current and future gravitational wave detectors.
@article{arxiv.2304.11185,
title = {Gravitational-Wave Phasing of Quasi-Circular Compact Binary Systems to the Fourth-and-a-Half post-Newtonian Order},
author = {Luc Blanchet and Guillaume Faye and Quentin Henry and François Larrouturou and David Trestini},
journal= {arXiv preprint arXiv:2304.11185},
year = {2023}
}
Comments
9 pages, 1 table. v2: reference of the companion paper updated. v3: post-referee version, typo corrected in Eq. (9). v4: bibliographic typo corrected