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General Relativity and Quantum Cosmology

arXiv:2508.08618v1 (gr-qc)
[Submitted on 12 Aug 2025 (this version), latest version 14 Aug 2025 (v2)]

Title:A general Fourier expansion of post-Newtonian binary dynamics based on quasi-Keplerian framework

Authors:Xiaolin Liu, Zhoujian Cao
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Abstract:We have introduced a new Fourier-expansion technique for computing gravitational-wave emission from non-spinning binaries in the post-Newtonian framework. Using this approach, we derived the full set of 3PN dynamical quantities and gravitational-wave Fourier modes and have released the corresponding numerical code as open source. Furthermore, applying the method to the tail contribution of the energy flux, we found that it can be resummed into an exceptionally compact expression. These advances pave the way for more convenient and accurate frequency-domain waveform modeling in the future.
Comments: 27 pages, 3 figures
Subjects: General Relativity and Quantum Cosmology (gr-qc); Instrumentation and Methods for Astrophysics (astro-ph.IM); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2508.08618 [gr-qc]
  (or arXiv:2508.08618v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.2508.08618

Submission history

From: Xiaolin Liu [view email]
[v1] Tue, 12 Aug 2025 04:06:56 UTC (437 KB)
[v2] Thu, 14 Aug 2025 05:04:20 UTC (439 KB)
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