Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of general relativity. We concentrate on scalar Gauss-Bonnet gravity, one of the most compelling classes of theories appearing as the low-energy limit of quantum gravity paradigms, which introduces quadratic curvature corrections to gravity coupled to a scalar field and allows for black hole solutions with scalar charge. Focusing on inspiraling black hole binaries, we compute the leading-order corrections due to curvature nonlinearities in the GW and scalar waveforms, showing that the new contributions, beyond merely the effect of scalar field, appear at first post-Newtonian order in GWs. We provide ready-to-implement GW polarizations and phasing. Computing the GW phasing in the Fourier domain, we perform a parameter-space study to quantify the detectability of deviations from general relativity. Our results lay important foundations for future precision tests of gravity with both parametrized and theory-specific searches.

中文翻译：

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来自黑洞双星的引力波的非线性曲率效应

来自合并黑洞的引力波 (GW) 允许对强场引力进行前所未有的探测。在这种情况下测试引力需要在广义相对论的可行扩展中准确预测引力波形模板。我们专注于标量 Gauss-Bonnet 引力，这是最引人注目的一类理论，作为量子引力范式的低能量极限出现，它引入了对与标量场耦合的引力的二次曲率校正，并允许带有标量电荷的黑洞解决方案. 着眼于激发灵感的黑洞双星，我们计算了由于引力波和标量波形中的曲率非线性引起的超前阶修正，表明新的贡献，不仅仅是标量场的影响，出现在引力波中的第一个后牛顿阶。我们提供现成的 GW 极化和定相。计算傅立叶域中的 GW 相位，我们执行参数空间研究以量化广义相对论偏差的可检测性。我们的结果为未来通过参数化和特定理论搜索进行的重力精确测试奠定了重要基础。