Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. Gravitational radiation admits extra massive modes of oscillation and we assume that the amplitude of these modes is comparable to that of the massless mode. We derive the propagation equation and effective mass for each degree of freedom and we infer, from the current observational data, constraints on the free parameters of the gravity models we considered. In particular, for f(R)=R-R²/R₀, the constraint obtained from the speed of gravitational waves is not compatible with the one set by Solar System tests, which implies that amplitude of the massive modes could not be detectable with current experiments on Earth.

使用先进的LIGO和先进的处女座从二进制黑洞信号中检测引力波的最新实验结果，我们研究了在最小最小耦合到标量场的四阶重力情况下的引力波传播。引力辐射允许额外的大规模振荡模式，我们假设这些模式的振幅与无质量模式的振幅相当。我们导出每个自由度的传播方程和有效质量，并从当前的观测数据中推断出对我们考虑的重力模型的自由参数的约束。特别是对于f（R）= RR ² / R ₀，从引力波速度获得的约束与太阳系测试所设定的约束不兼容，这意味着在地球上进行的当前实验无法检测到质量模的振幅。