论文标题
大型布兰斯 - 迪克理论中紧凑型二进制的准圆形灵感的引力波形
Gravitational waveforms from the quasicircular inspiral of compact binaries in massive Brans-Dicke theory
论文作者
论文摘要
我们研究了大型Brans-Dicke理论中灵感的紧凑型二元系统发出的引力波。除了先前工作中获得的两个张量极化外,我们还明确和分析了两个标量极化的时域波形的表达式。随着固定相近似值,我们获得了两个张量极化的傅立叶变换。我们发现,当标量场是光线时,波形可以映射到参数化的后源后(PPE)框架,并确定PPE参数。但是,当标量场很重时,PPE框架不适用。我们还通过对未来地面检测器的重力波观测来获得对该理论参数的投影约束。最后,我们将结果应用于Damour和Esposito-Farèse,$ f(r)$重力和筛选的修饰重力的模型。
We study the gravitational waves emitted by an inspiralling compact binary system in massive Brans-Dicke theory. In addition to the two tensor polarizations, which have been obtained in the previous work, we calculate explicitly and analytically the expressions for the time-domain waveforms of the two scalar polarizations. With the stationary phase approximations, we obtain the Fourier transforms of the two tensor polarizations. We find that when the scalar field is light, the waveforms can be mapped to the parametrized post-Einsteinian (ppE) framework and we identify the ppE parameters. However, when the scalar field is heavy, the ppE framework is not applicable. We also obtain the projected constraints on the parameters of this theory by gravitational wave observations of future ground-based detectors. Finally, we apply our result to the model proposed by Damour and Esposito-Farèse, $f(R)$ gravity, and screened modified gravity.