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In this paper, we investigate the expected constraints on the Hubble constantfrom the gravitational-wave standard sirens, in acosmological-model-independent way. In the framework of the well-known Hubblelaw, the GW signal from each detected binary merger in the local universe($z<0.10$) provides a measurement of luminosity distance $D_L$ and thus theHubble constant $H_0$. Focusing on the simulated data of gravitational wavesfrom the third-generation gravitational wave detector (the Einstein Telescope,ET), combined with the redshifts determined from electromagnetic counter partsand host galaxies, one can expect the Hubble constant to be constrained at theprecision of $\sim 10^{-2}$ with 20 well-observed binary neutron star (BNS)mergers. Additional standard-siren measurements from other types of futuregravitational-wave sources (NS-BH and BBH) will provide more precisionconstraints of this important cosmological parameter. Therefore, we obtain thatfuture measurements of the luminosity distances of gravitational waves sourceswill be much more competitive than the current analysis, which makes itexpectable more vigorous and convincing constraints on the Hubble constant in acosmological-model-independent way.

A model-independent constraint on the Hubble constant with gravitational waves from the Einstein Telescope