Pure Gravitational Wave Estimation of Hubble's Constant using Neutron Star-Black Hole Mergers

2023/08/04 by Fung, Leo W. H., Broadhurst, Tom, Smoot, George F.
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2308.02440

Abstract

Here we show how H₀ can be derived purely from the gravitational waves (GW) of neutron star-black hole (NSBH) mergers. This new method provides an estimate of H₀ spanning the redshift range, z<0.25 with current GW sensitivity and without the need for any afterglow detection. We utilise the inherently tight neutron star mass function together with the NSBH waveform amplitude and frequency to estimate distance and redshift respectively, thereby obtaining H₀ statistically. Our first estimate is H₀ = 86⁺⁵⁵_-46 km s^-1 Mpc^-1 for the secure NSBH events GW190426 and GW200115. We forecast that soon, with 10 more such NSBH events we can reach competitive precision of δH₀/H₀ \lesssim 20%.

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