  The detection of gravitational waves (GW) by the LIGO and Virgo
collaborations offers a whole new range of possible tests and opens up a new
window which may shed light on the nature of dark energy and dark matter. In
the present work we investigate how future gravitational waves data could help
to constrain different dynamical dark energy models. In particular, we perform
cosmological forecastings of a class of well known and most used dynamical dark
energy models using the third-generation gravitational wave detector, the
Einstein Telescope. We have considered 1000 simulated GW events in order to
constrain the parameter space of the dynamical dark energy models. Our analyses
show that the inclusion of the GW data from the Einstein Telescope,
significantly improves the parameter space of the dynamical dark energy models
compared to their constraints extracted from the standard cosmological probes,
namely, the cosmic microwave observations, baryon acoustic oscillations
distance measurements, Supernove type Ia, and the Hubble parameter
measurements.
