Reconstructing the gravitational waveform from its probe limit
Gravitational observables for binary systems exhibit a simple polynomial dependence on the masses m<SUB>1</SUB>, m<SUB>2</SUB> of the two scattering objects when they are written in terms of the appropriate kinematic variables in the post-Minkowskian (PM) regime. We point out that this property, combined with particle interchange symmetry, allows one to reconstruct the leading and subleading PM waveforms from their probe limit, m<SUB>1</SUB> ≫ m<SUB>2</SUB>. As an application, focusing on their re-expansion in the small-velocity or post-Newtonian (PN) regime, we calculate the probe-limit waveforms up to 10PN, and then exploit this observation to deduce from them the waveforms for generic masses in the center-of-mass frame up to 5PN. To this end, we employ both the amplitude-based waveform integrands and the tail formula. This combined approach simplifies substantially the PN expansion of the full subleading PM waveform.
展开 ▾从探针极限重建引力波形 · 利用双星系统引力可观测量对质量的简单多项式依赖和粒子交换对称性,从探针极限重建了前导和次前导后闵可夫斯基波形,并计算了至5PN的通用质量质心系波形。
预印本 2025-11-17 · 刊出 2026-06-01 · 收录 2026-08-22