| Currently,the cosmological constant model(ΛCDM)also called Standard cosmological model that fits well with many of today’s astronomical observations,but it has serious theoretical problems,such as "fine adjustment" and "cosmic coincidence".In response to these problems,various schemes such as dynamic dark energy and modified gravity have been proposed.In many cosmological models,the holographic dark energy model combining gravitational holographic principle and effective quantum field theory not only partially solve the "fine adjustment" and "cosmic coincidence" problems,but also can well match the current observation data.Current background-level observations,including cosmic microwave background radiation,baryon acoustic oscillations,type Ⅰa supernovae,and direct measurement of the Hubble constant H0,are all observations of electromagnetic waves.The degeneracy of the parameters brought about by these observations and the inconsistency of the H0 measurement are hot topics for cosmology.With the first detection of the GW 150914,the gravitational wave standard sirens as a new cosmological probe will open a new window for us to study cosmology.Different from traditional optical observations,gravitational wave observation does not depend on the distance ladder,which will provide us with absolute luminosity distance information.In the future,gravitational wave events at high redshifts can be detected,which can be used as a powerful tool for studying the early universe.Therefore,it is of great significance to explore and predict the application of gravitational wave observation data in cosmology.This paper simulates the gravitational wave data that can be observed in the future by predicting the third-generation ground gravitational wave detector,Einstein Telescope(ET),and used this data to study the holographic dark energy model(HDE).We simulate 1000 GW standard siren data contains double neutron stars and neutron stars and black holes based on a 10-year observation of the ET to make this analysis.We find that all the cosmological parameters in the HDE model can be tremendously improved by including the GW standard siren data in the cosmological fit.The GW data combined with the current cosmic microwave background,baryon acoustic oscillations,and type Ia supernovae data will measure the cosmological parameters Ωm,H0,and c in the HDE model to be at the accuracies of 1.28%,0.59%,and 3.69%,respectively.In addition,a comparison with the cosmological constant model and the constant-w dark energy model shows compared to the standard model,the parameter degeneracies will be broken more thoroughly in a dynamical dark energy model.We find that the GW data alone can provide a fairly good measurement for H0,but for other cosmological parameters the GW data alone can only provide rather weak measurements.However,due to the fact that the parameter degeneracies can be broken by the GW data,the standard sirens can play an essential role in improving the parameter estimation. |
