Galaxy cluster strong lensing cosmography

Cluster strong lensing cosmography is a promising probe of the background geometry Universe and several studies have emerged, thanks to increased quality observations using space ground-based telescopes. For first time, we use sample five cluster lenses measure values cosmological parameters combine them with those from classical probes. In order assess degeneracies effectiveness strong-lensing in constraining Universe, adopt four scenarios. We find good power on total matter density ($\Omega_{\rm m}$) equation state dark energy parameter $w$. flat $w$CDM cosmology, $\Omega_{\rm m} = 0.30_{-0.11}^{+0.09}$ $w=-1.12_{-0.32}^{+0.17}$ only. Interestingly, show that constraints Cosmic Microwave Background (CMB) are improved by factors 2.5 4.0 m}$ $w$, respectively, when combined our posterior distributions this model. scenario where evolves redshift, compatible constant (i.e. $w=-1$). curved analyses can accommodate large range for curvature k}=0.28_{-0.21}^{+0.16}$. all scenarios, complementary agreement measurements CMB, baryon acoustic oscillations Type Ia supernovae. Our results potentially powerful be included future surveys.