http://arxiv.org/abs/2203.11756
We develop a method for implementing a proposal on utilizing knowledge of neutron star (NS) equation of state (EoS) for inferring the Hubble constant from a population of binary neutron star (BNS) mergers. This method is useful in exploiting BNSs as standard sirens when their redshifts are unavailable. Gravitational wave (GW) signals from compact object binaries provide a direct measurement of their luminosity distances, but not the redshifts. Unlike in the past, we employ a realistic EoS parameterization in a Bayesian framework to simultaneously measure the Hubble constant and refine the constraints on the EoS parameters. The uncertainty in the redshift depends on the uncertainty in EoS and mass parameters estimated from GW data. Combining the inferred BNS redshifts with the corresponding luminosity distances, one constructs a redshift-distance relationship and deduces the Hubble constant from it. Here, we show that in the Cosmic Explorer era, one can measure the Hubble constant to a precision of $\sim 3\%$ (with a $90\%$ credible interval) with a realistic distribution of thousand BNSs, while allowing for uncertainties in their EoS parameters. The methodology implemented in this work demonstrates a comprehensive algorithm to infer NS EoS and the Hubble constant by simultaneously combining GW observations from merging NSs, choosing a simple population model of NS masses and keeping the merger rate of NSs constant. This method can be immediately extended to incorporate merger rate, population properties, and different cosmological parameters.
T. Ghosh, B. Biswas and S. Bose
Wed, 23 Mar 22
64/76
Comments: N/A