Dynamical dark energy models in the light of Gravitational-Wave
  Transient Catalogues
  The study of current gravitational waves (GW) catalogues provide an
interesting model independent way to understand further the nature of dark
energy. In this work, we present an update of the constrains related to
dynamical dark energy parametrisations using recent Gravitational-Wave
Transient catalogues (GWTC-1 and GWTC-2) along with Type Ia supernova (SNeIa)
and Cosmic Chronometers (CC) catalogues. According to our Bayesian results
using the full SNeIa+CC+GW database, the $\Lambda$CDM model shows a strong
preference against two dark energy parameterisation known as Barboza-Alcaniz
(BA) and the Low Correlation (LC) models. Also, we obtain a very strong
preference against the Chevallier-Polarski-Linder (CPL) model. Furthermore, we
generated a mock GW catalogue and estimate that we require approximately 1000
standard sirens to have a constrain of $H_0$ within 1\% relative error,
quantity that is out of reach of current standard sirens candidates in GWTC-1
and GWTC-2 catalogues.
