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Neutron-star radius from a population of binary neutron star mergers

Bose, Sukanta, Chakravarti, Kabir, Rezzolla, Luciano, Sathyaprakash, Bangalore and Takami, Kentaro 2018. Neutron-star radius from a population of binary neutron star mergers. Physical Review Letters 120 (3) , 031102. 10.1103/PhysRevLett.120.031102

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We show how gravitational-wave observations with advanced detectors of tens to several tens of neutron-star binaries can measure the neutron-star radius with an accuracy of several to a few percent, for mass and spatial distributions that are realistic, and with none of the sources located within 100 Mpc. We achieve such an accuracy by combining measurements of the total mass from the inspiral phase with those of the compactness from the postmerger oscillation frequencies. For estimating the measurement errors of these frequencies, we utilize analytical fits to postmerger numerical relativity waveforms in the time domain, obtained here for the first time, for four nuclear-physics equations of state and a couple of values for the mass. We further exploit quasiuniversal relations to derive errors in compactness from those frequencies. Measuring the average radius to well within 10% is possible for a sample of 100 binaries distributed uniformly in volume between 100 and 300 Mpc, so long as the equation of state is not too soft or the binaries are not too heavy. We also give error estimates for the Einstein Telescope.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Publisher: American Physical Society
ISSN: 0031-9007
Date of First Compliant Deposit: 5 February 2018
Date of Acceptance: 16 January 2018
Last Modified: 06 Feb 2018 10:50

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