标题： 通过引力波辐射对扩展引力模型的约束 显示英文标题

标题： Constraints on extended gravity models through gravitational wave emission

摘要： 利用Advanced LIGO和Advanced Virgo对双黑洞信号引力波探测的最新实验结果，我们研究了在四阶引力中与质量标量场非最小耦合的情况下引力波的传播。 引力辐射具有额外的质量模式振动，我们假设这些模式的振幅与无质量模式的振幅相当。 我们推导了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我们所考虑的引力模型中的自由参数的约束。 特别是，对于$f(R)=R-R^2/R_0 $，从引力波速度得到的约束与太阳系测试设定的约束不兼容，这意味着质量模式的振幅可能无法被目前地球上的实验检测到。 显示英文摘要

摘要： 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-R^2/R_0 $, 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