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Abstract:
The Einstein Telescope, a third-generation gravitational-wave detector under a
design study, could detect millions of binary neutron star inspirals each year. A
small fraction of these events might be observed as gamma-ray bursts, helping
to measure both the luminosity distance DL to and redshift z of the source.
By fitting these measured values of DL and z to a cosmological model, it
would be possible to infer the dark energy equation of state to within 1.5%
without the need to correct for errors in DL caused by weak lensing. This
compares favourably with 0.3–10% accuracy that can be achieved with the
Laser Interferometer Space Antenna (where weak lensing will need to be dealt
with) as well as with dedicated dark energy missions that have been proposed,
where 3.5–11% uncertainty is expected.
