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Source Redshifts from Gravitational-Wave Observations of Binary Neutron Star Mergers

Messenger, C. and Takami, Kentaro and Gossan, Sarah and Rezzolla, Luciano and Sathyaprakash, B. S. (2014) Source Redshifts from Gravitational-Wave Observations of Binary Neutron Star Mergers. Physical Review X, 4 (4). Art. No. 041004 . ISSN 2160-3308.

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Inspiraling compact binaries as standard sirens will become an invaluable tool for cosmology when we enter the gravitational-wave detection era. 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; only the combination M(1+z), the redshifted mass, can be directly extracted from the signal. Recent work has shown that for third-generation detectors, a tidal correction to the gravitational-wave phase in the late-inspiral signal of binary neutron star systems can be used to break the mass-redshift degeneracy. Here, we propose to use the signature encoded in the postmerger signal allowing the accurate extraction of the intrinsic rest-frame mass of the source, in turn permitting the determination of source redshift and luminosity distance. The entirety of this analysis method and any subsequent cosmological inference derived from it would be obtained solely from gravitational-wave observations and, hence, would be independent of the cosmological distance ladder. Using numerical simulations of binary neutron star mergers of different mass, we model gravitational-wave signals at different redshifts and use a Bayesian parameter estimation to determine the accuracy with which the redshift and mass can be extracted. We find that for a known illustrative neutron star equation of state and using the Einstein telescope, the median of the 1σ confidence regions in redshift corresponds to ∼10%–20% uncertainties at redshifts of z<0.04.

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Additional Information:© 2014 Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 22 January 2014; revised manuscript received 4 June 2014; published 8 October 2014. We acknowledge useful discussions with our colleagues from the LSC-Virgo Collaboration, and C. M., S. G., and B. S. S. especially thank C. Ott, J. Read, and J. Veitch. C.M. and B. S. S. were funded by the Science and Technology Facilities Council (STFC)Grant No.ST/J000345/1,and S. G. is partially supported by NSF Grants No. PHY-1151197 and No. 1068881. Partial support comes from the DFG Grant SFB/Transregio 7 and by “NewCompStar,”' COSTAction MP1304. K. T. is supported by the LOEWE-Program in HIC for FAIR. The simulations were performed on SuperMUC at LRZ-Munich, on Datura at AEI-Potsdam, and on LOEWE at CSC-Frankfurt.
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STFC (United Kingdom)ST/J000345/1
DFG (Germany)SFB/Transregio 7
Record Number:CaltechAUTHORS:20141205-092323668
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Official Citation:Messenger, C., Takami, K., Gossan, S., Rezzolla, L., & Sathyaprakash, B. S. (2014). Source Redshifts from Gravitational-Wave Observations of Binary Neutron Star Mergers. Physical Review X, 4(4), 041004.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52424
Deposited By: Jason Perez
Deposited On:08 Dec 2014 03:05
Last Modified:08 Dec 2014 03:05

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