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arXiv · 1312.1862

Host redshifts from gravitational-wave observations of binary neutron star mergers

Chris Messenger·Kentaro Takami·Sarah Gossan·Luciano Rezzolla·B. S. Sathyaprakash
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Abstract

Inspiralling compact binaries as standard sirens will soon become an invaluable tool for cosmology when advanced interferometric gravitational-wave detectors begin their observations in the coming years. However, a degeneracy in the information carried by gravitational waves between the total rest-frame mass $M$ and the redshift $z$ of the source implies that neither can be directly extracted from the signal, but only the combination $M(1+z)$, the redshifted mass. Recent work has shown that for binary neutron star systems, a tidal correction to the gravitational-wave phase in the late-inspiral signal that depends on the rest-frame source mass could be used to break the mass-redshift degeneracy. We propose here to use the signature encoded in the post-merger signal to deduce the redshift to the source. This will allow an accurate extraction of the intrinsic rest-frame mass of the source, in turn permitting the determination of source redshift and luminosity distance solely from gravitational-wave observations. This will herald a new era in precision cosmography and astrophysics. Using numerical simulations of binary neutron star mergers of very slightly different mass, we model gravitational-wave signals at different redshifts and use Bayesian parameter estimation to determine the accuracy with which the redshift can be extracted for a source of known mass. We find that the Einstein Telescope can determine the source redshift to $sim 10$--$20%$ at redshifts of $z<0.04$.

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Chris Messenger, Kentaro Takami, Sarah Gossan, Luciano Rezzolla, B. S. Sathyaprakash. 2013-12-06. Host redshifts from gravitational-wave observations of binary neutron star mergers. https://doi.org/10.1103/physrevx.4.041004

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