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We present new measurements of the values of the Hubble constant, matterdensity, dark energy density, and dark energy density equation-of-stateparameters from a full strong lensing analysis of the observed positions of 89multiple images and 4 measured time delays of SN Refsdal multiple images in theHubble Frontier Fields galaxy cluster MACS J1149.5+2223. By strictly followingthe identical modelling methodology as in our previous work, that was donebefore the time delays were available, our cosmographic measurements here areessentially blind based on the frozen procedure. Without using any priors fromother cosmological experiments, in an open $w$CDM cosmological model, throughour reference cluster mass model, we measure the following values: $H_0 =65.1^{+3.5}_{-3.4}$ km s$^{-1}$ Mpc$^{-1}$, $\Omega_{\rmDE}=0.76^{+0.15}_{-0.10}$, and $w=-0.92^{+0.15}_{-0.21}$ (at the 68.3%confidence level). No other single cosmological probe is able to measuresimultaneously all these parameters. Remarkably, our estimated values of thecosmological parameters, particularly $H_0$, are very robust and do not dependsignificantly on the assumed cosmological model and the cluster mass modellingdetails. The latter introduce systematic uncertainties on the values of $H_0$and $w$ which are found largely subdominant compared to the statistical errors.The results of this study show that time delays in lens galaxy clusters,combined with extensive photometric and spectroscopic information, offers anovel and competitive cosmological tool.

Cosmography with Supernova Refsdal through time-delay cluster lensing: independent measurements of the Hubble constant and geometry of the Universe