Gravitational waveforms for compact binary coalescences (CBCs) have been invaluable for detections by the LIGO-Virgo collaboration. They are obtained by a combination of semi-analytical models and numerical simulations. So far systematic errors arising from these procedures appear to be less than statistical ones. However, the significantly enhanced sensitivity of the new detectors that will become operational in the near future will require waveforms to be much more accurate. This in turn requires reliable procedures to evaluate accuracy, particularly in the regions of parameter space where numerical simulations are sparse. Currently errors are estimated by comparing the candidate waveforms with the NR ones, which are taken to be exact. The goal of this paper is to propose a qualitatively different tool. We show that full non-linear general relativity (GR) imposes an infinite number of sharp constraints on the CBC waveforms. These can provide clear-cut measures to evaluate the accuracy of candidate waveforms against exact GR, help find systematic errors, and also provide external checks on NR simulations themselves.

中文翻译：

---

紧凑的二进制合并：对波形的约束

紧凑二元聚结（CBC）的引力波形对于 LIGO-Virgo 合作的检测非常宝贵。它们是通过半解析模型和数值模拟相结合获得的。迄今为止，由这些程序引起的系统误差似乎小于统计误差。然而，在不久的将来投入使用的新检测器的灵敏度显着提高，将要求波形更加准确。这反过来需要可靠的程序来评估准确性，特别是在数值模拟稀疏的参数空间区域。目前通过将候选波形与 NR 波形进行比较来估计误差，这被认为是准确的。本文的目标是提出一种质量上不同的工具。我们表明，完全非线性广义相对论 (GR) 对 CBC 波形施加了无限数量的尖锐约束。这些可以提供明确的措施来评估候选波形与精确 GR 的准确性，帮助发现系统误差，并提供对 NR 模拟本身的外部检查。