标题： 广义布兰斯-迪克理论中的引力辐射：密近双星系统 显示英文标题

标题： Gravitational Radiation in Generalized Brans Dicke Theory: Compact Binary Systems

摘要： 本文研究了广义布兰斯-迪克（GBD）理论框架内的引力辐射的产生及其性质，特别关注其在致密双星系统中的表现。本研究的主要重点在于对由致密双星产生的引力辐射进行全面探讨。研究了GBD理论中的能量动量张量和相关的引力波（GW）辐射功率，阐明了这些基本概念之间的关系。此外，提供了来自张量场和标量场的GW辐射功率的详细计算。根据我们的计算，标量场通过产生偶极辐射对GW辐射有贡献。我们还研究了该理论中致密双星的周期导数。通过与脉冲星J1012+5307的轨道周期导数的观测数据进行比较，我们对理论的两个参数进行了限制：布兰斯-迪克耦合参数$\omega_{0}$和几何标量场的质量$m_f$，\textcolor{black}{导致质量为零的BD标量场和质量小于$10^{-29} \text{GeV}$的几何场的下限$\omega_{0}>6.09723\times10^6$。得到的$\omega_0$的限制比来自太阳系数据的限制严格两个数量级。} 。最后，我们发现了引力波在频率域传播过程中经历的相位变化。 显示英文摘要

摘要： This paper investigates the generation and properties of gravitational radiation within the framework of Generalized Brans-Dicke (GBD) theory, with a specific emphasis on its manifestation in compact binary systems. The primary focus of this study lies in the comprehensive exploration of gravitational radiation generated by compact binaries. The energy momentum tensor and the associated gravitational wave (GW) radiation power in GBD theory are investigated, elucidating the relationship between these fundamental concepts. Furthermore, detailed calculations are provided for the GW radiation power originating from both tensor fields and scalar fields. Based on our calculations, both scalar fields contribute to GW radiation by producing dipole radiation. We also study the period derivative of compact binaries in this theory. By comparing with the observational data of the orbital period derivative of the quasicircular white dwarf-neutron star binary PSR J1012+5307, we put bounds on the two parameters of the theory: the Brans-Dicke coupling parameter $\omega_{0}$ and the mass of geometrical scalar field $m_f$, \textcolor{black}{resulting in a lower bound $\omega_{0}>6.09723\times10^6$ for a massless BD scalar field and the geometrical field whose mass is smaller than $10^{-29} \text{GeV}$. The obtained bound on $\omega_0$ is two orders of magnitude stricter than those derived from solar system data.} Finally, we find the phase shift that GWs experience in the frequency domain during their propagation.