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Detection of gravitational waves from the inspiral phase of binary neutronstar coalescence will allow us to measure the effects of the tidal coupling insuch systems. These effects will be measurable using 3rd generationgravitational wave detectors, e.g. the Einstein Telescope, which will becapable of detecting inspiralling binary neutron star systems out to redshiftz=4. Tidal effects provide additional contributions to the phase evolution ofthe gravitational wave signal that break a degeneracy between the system's massparameters and redshift and thereby allow the simultaneous measurement of boththe effective distance and the redshift for individual sources. Using thepopulation of O(10^3-10^7) detectable binary neutron star systems predicted forthe Einstein Telescope the luminosity distance--redshift relation can be probedindependently of the cosmological distance ladder and independently ofelectromagnetic observations. We present the results of a Fisher informationanalysis applied to waveforms assuming a subset of possible neutron starequations of state. We conclude that for our range of representative neutronstar equations of state the redshift of such systems can be determined to anaccuracy of 8-40% for z<1 and 9-65% for 1<z<4.

Measuring a cosmological distance-redshift relationship using only gravitational wave observations of binary neutron star coalescences