Dynamical dark energy models in the light of Gravitational-Wave Transient Catalogues

The study of current gravitational waves catalogues provide an interesting model independent way to understand further the nature of dark energy. Taking advantage of them, in this work we present an update of the constraints related to dynamical dark energy parameterisations using recent Gravitational-Wave Transient catalogues (GWTC1 and GWTC-2). Also, we present a new treatment for GW to establish the relation between the standard luminosity distance and the siren distance. According to our Bayesian results developed with our join SNeIa+CC+GW database, the $Lambda$CDM model shows a preference against all the dark energy parameterisations considered here. Moreover, with the current GW transient database the GR standard luminosity and siren distances ratio shows a strong preference against the modified gravity $delta$-models considered here.