双黑洞并合的引力波暴GW150914的发现标志着人类对宇宙的观测有了一个全新的窗口。双中子星并合事件GW170817及其电磁对应体的观测预示着多信使引力波天文学的到来。本项目将围绕massive Brans-Dicke理论中致密双星系统辐射的引力波展开。我们计划采用后牛顿展开的方法计算该理论中的致密双星系统在旋进阶段辐射出的引力波波形。为了利用引力波波形研究宇宙的膨胀历史，将进一步考虑引力波在宇宙中传播的问题。采用几何光学近似的方法，研究宇宙膨胀对该理论中引力波振幅、相位以及极化张量的影响。最后，结合计算得到的波形，利用第三代地面引力波探测器爱因斯坦望远镜和宇宙勘探者的噪声功率谱，研究引力波作为标准汽笛对该理论中的自由参数的限制能力。这方面的研究将有助于对引力理论和宇宙演化的理解。

Observation of gravitational wave event GW150914 by binary black hole merger opens a new window for human observation of the Universe. Observations of the binary neutron star merger event GW170817 and its electromagnetic counterpart herald the arrival of multi-messenger gravitational wave astronomy. This project will focus on the gravitational waves radiated by a compact binary star system in the massive Brans-Dicke theory. We plan to use the post-Newtonian expansion method to calculate the gravitational waveforms of compact binary inspiral gravitational radiation in this theory. In order to use the gravitational waveforms to study the expansion history of the Universe, the problem of gravitational wave propagation in the Universe will be further considered. The effect of cosmic expansion on the amplitude, phase, and polarization tensor of gravitational waves in the theory will be studied through geometric optical approximation. Finally, combined with the obtained waveform, the noise power spectrum of the third-generation ground gravitational wave detector Einstein Telescope and Cosmic Explorer will be used to study the ability of gravitational waves as a standard siren to constrain the free parameters in this theory. This project will help to understand the theory of gravity and the evolution of the Universe.