The constraint ability of Hubble parameter by gravitational wave standard sirens on cosmological parameters

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In this paper, we present the application of a new method measuring Hubble parameter $H(z)$ by using the anisotropy of luminosity distance($d_{L}$) of the gravitational wave(GW) standard sirens of neutron star(NS) binary system.

• The method has never been put into practice so far due to the lack of the ability of detecting GW.
• However, LIGO's success in detecting GW of black hole(BH) binary system merger announced the potential possibility of this new method.
• We apply this method to several GW detecting projects, including Advanced LIGO(aLIGO), Einstein Telescope(ET) and DECIGO, and evaluate its constraint ability on cosmological parameters of $H(z)$.