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Compact binaries are an important class of gravitational-wave (GW) sourcesthat can be detected by current and future GW observatories. They provide atestbed for general relativity (GR) in the highly dynamical strong-fieldregime. Here, we use GWs from inspiraling binary neutron stars and binary blackholes to investigate dipolar gravitational radiation (DGR) and varyinggravitational constant predicted by some alternative theories to GR, such asthe scalar-tensor gravity. Within the parametrized post-Einsteinian framework,we introduce the parametrization of these two effects simultaneously intocompact binaries' inspiral waveform and perform the Fisher-information-matrixanalysis to estimate their simultaneous bounds. In general, the space-based GWdetectors can give a tighter limit than ground-based ones. The tightestconstraints can reach $\sigma_B<3\times10^{-11}$ for the DGR parameter $B$ and$\sigma_{\dot{G}}/G < 7\times10^{-9} \, {\rm yr}^{-1} $ for the varying $G$,when the time to coalescence of the GW event is close to the lifetime ofspace-based detectors. In addition, we analyze the correlation between thesetwo effects and highlight the importance of considering both effects in orderto arrive at more realistic results.

Simultaneous bounds on the gravitational dipole radiation and varying gravitational constant from compact binary inspirals