Cosmology with Gravitational Waves: statistical inference of the Hubble constant

Details Cosmology with Gravitational Waves: statistical inference of the Hubble constant Cosmology with Gravitational Waves: statistical inference of the Hubble constant

2011-08-05

arxiv.org/abs/1108.1317v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

10 pages, 24 figures. Replaced to match the version submitted to PRD

Scientific paper

The precise measurement of the Hubble constant $H_0$ is among the foundations of the current cosmological paradigm. Due to correlations between $H_0$ and the remaining cosmological parameters, a precise measurement of $H_0$ is critical in view of future high redshift surveys. By 2015, second generation ground-based laser interferometers are expected to deliver a wealth of gravitational waves (GW) events from coalescing compact binaries up to a redshift of about 0.3. Being free of the systematics affecting electromagnetic measurements, GW offer the possibility of an independent measurement of $H_0$ with great accuracy. This work presents a general method based on Bayesian inference aimed at estimating the value of the cosmological parameters for any GW event. In contrast to earlier work, this framework does not require the precise identification of the putative optical counterpart, but it considers all the potential galaxy hosts consistent with the measured sky position and distance posterior distributions. When applied to the planned worldwide network of second generation interferometers, 50 GW events will yield a measurement of $H_0$ with an uncertainty of few percent.

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