Gravitational waveforms from the quasicircular inspiral of compact binaries in massive Brans-Dicke theory
Tan Liu, Wen Zhao, Yan Wang
Abstract
We study the gravitational waves emitted by an inspiraling compact binary system in massive Brans-Dicke theory. In addition to the two tensor polarizations, which have been obtained in previous work, we explicitly and analytically calculate 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-Far\`ese, $f(R)$ gravity, and screened modified gravity.