发表机构
Chongqing University（重庆大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究利用频域螺旋波形在参数化后爱因斯坦框架内推导波形导数解析表达式，用于费舍尔矩阵计算，应用于多种探测器配置，揭示非广义相对论效应约束趋势，凸显探测器网络检验引力的潜力。
AI 中文摘要
检验超越广义相对论（GR）的引力对于通过引力波（GW）观测探索强场和高动态 regime 的基础物理学至关重要。在这项工作中，我们在参数化后爱因斯坦框架内的费舍尔矩阵形式中，使用频域螺旋波形推导波形导数的解析表达式。这些解析导数能够在不依赖有限差分方案的情况下进行稳定且高效的费舍尔矩阵计算。我们将此方法应用于广泛的探测器配置，包括天基、地基和多波段观测，并将其与不同的双黑洞种群模型相结合。我们的结果揭示了对非 GR 效应的约束作为后牛顿阶数、探测器类型和源种群的函数的清晰且系统的趋势。它们还展示了天基和地基探测器之间的互补性，特别是对于在低频螺旋期间积累的效应。解析方法大大降低了计算成本并避免了与步长选择相关的数值系统误差，使其非常适合大规模参数研究。这些结果为未来 GW 观测约束广泛的非 GR 效应和环境影响的能力提供了有力的预测，突出了即将到来的探测器网络进行精确引力测试的科学潜力。
英文摘要
Testing gravity beyond general relativity (GR) is essential for probing fundamental physics in the strong-field and highly dynamical regime accessed by gravitational-wave (GW) observations. In this work, we derive analytic expressions for waveform derivatives in the Fisher-matrix formalism within the parametrized post-Einsteinian framework, using the frequency-domain inspiral waveform. These analytic derivatives enable stable and efficient Fisher-matrix calculations without relying on finite-difference schemes. We apply this method to a wide range of detector configurations, including space-based, ground-based, and multiband observations, and combine it with different binary black hole population models. Our results reveal clear and systematic trends in the constraints on non-GR effects as functions of post-Newtonian order, detector type, and source population. They also demonstrate the complementarity between space- and ground-based detectors, particularly for effects that accumulate during the low-frequency inspiral. The analytic approach substantially reduces computational cost and avoids numerical systematics associated with step-size choices, making it well suited for large-scale parameter studies. These results provide robust forecasts for the capability of future GW observations to constrain a broad class of non-GR effects and environmental influences, highlighting the scientific potential of upcoming detector networks for precision tests of gravity.
Comments22 pages, 6 figures
Journal refEur. Phys. J. C 86, 1098 (2026)
DOI：10.1140/epjc/s10052-026-16251-5
