On Dark Gravitational Wave Standard Sirens as Cosmological Inference and Forecasting the Constraint on Hubble Constant using Binary Black Holes Detected by Deci-hertz Observatory

Abstract

Gravitational wave (GW) signals from compact binary coalescences can be used as standard sirens to constrain cosmological parameters if their redshift can be measured independently. However, mergers of stellar binary black holes (BBHs) may not have electromagnetic counterparts and thus have no direct redshift measurements. These dark sirens may be still used to statistically constrain cosmological parameters by combining their GW measured luminosity distances and localization with deep redshift surveys of galaxies around it. We investigate this dark siren method in detail by using mock BBH and galaxy samples. We find that the Hubble constant can be constrained well with an accuracy $\lesssim 1\%$ with a few tens or more of BBH mergers at redshift up to $1$ if GW observations can provide accurate estimates of their luminosity distance (with relative error of $\lesssim 0.01$) and localization ($\lesssim 0.1{\mathrm{deg}}^2$), though the constraint may be significantly biased if the luminosity distance and localization errors are larger. We also introduce a simple method to correct this bias and find it is valid when the luminosity distance and localization errors are modestly large. We further generate mock BBH samples, according to current constraints on BBH merger rate and the distributions of BBH properties, and find that the Deci-hertz Observatory (DO) in a half year observation period may detect about one hundred BBHs with signal-to-noise ratio $\varrho \gtrsim 30$, relative luminosity distance error $\lesssim 0.02$, and localization error $\lesssim 0.01{\mathrm{deg}}^2$. By applying the dark standard siren method, we find that the Hubble constant can be constrained to the $\sim 0.1-1\%$ level using these DO BBHs, an accuracy comparable to the constraints obtained by using electromagnetic observations in the near future, thus it may provide insight into the Hubble tension.

15 pages, 9 figures

References in corpus (11)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• First measurement of the Hubble constant from a dark standard siren using the Dark Energy Survey galaxies and the LIGO/Virgo binary-black-hole merger GW170814
• Determination of Dark Energy by the Einstein Telescope: Comparing with CMB, BAO and SNIa Observations
• Precision of Hubble constant derived using black hole binary absolute distances and statistical redshift information
• Cosmology with the lights off: Standard sirens in the Einstein Telescope era
• Host galaxies of merging compact objects: mass, star formation rate, metallicity and colours
• Multiband Observation of LIGO/Virgo Binary Black Hole Mergers in the Gravitational-wave Transient Catalog GWTC-1
• Host galaxy properties of mergers of stellar binary black holes and their implications for advanced LIGO gravitational wave sources
• Constraining cosmological parameters in FLRW metric with lensed GW+EM signals
• A measurement of the Hubble constant using galaxy redshift surveys

Cited by in corpus (5)

• On networks of space-based gravitational-wave detectors
• Reconstructing the Hubble parameter with future Gravitational Wave missions using Machine Learning
• Dark-siren Cosmology with Decihertz Gravitational-wave Detectors
• High precision measurement of cosmic curvature: from gravitational waves and cosmic chronometer
• Gravitational-wave standard sirens and application in cosmology