Testing the cosmic distance-duality relation from future gravitational wave standard sirens

A validation of the cosmic distance-duality relation (CDDR) is crucial because any observational departure from it could be a signal of new physics. In this work, we explore the potentialities of luminosity distance data from the gravitational wave (GW) standard sirens of the future Einstein Telescope (ET) to test the CDDR. The angular diameter distance data are used from the galaxy cluster samples and the baryon acoustic oscillation (BAO) measurements. The basic advantage of GW measurement substituting for the observation from the type Ia supernovae (SNIa) is that the luminosity distance from GW is insensitive to the nonconservation of the number of photons. By simulating 550 and 1000 data points of future GW measurements in the low redshift range 0 < z < 1, we show that the measurements of future GW events will be a powerful tool to test the CDDR.