Strong Gravitational Lensing and Its Cosmic Constraints

Abstract

In this paper, we propose a new method to use the strong lensing data sets to constrain a cosmological model. By taking the ratio ${\mathcal{D}}_{ij}^{obs}={\theta }_{{\mathrm{E}}_{\mathrm{i}}}{\sigma }_{0_{\mathrm{j}}}^2/{\theta }_{{\mathrm{E}}_{\mathrm{j}}}{\sigma }_{0_{\mathrm{i}}}^2$ as cosmic observations, one can {\it completely} eliminate the uncertainty caused by the relation ${\sigma }_{\mathrm{SIS}}=f_{\mathrm{E}}{\sigma }_0$ which characterizes the relation between the stellar velocity dispersion ${\sigma }_0$ and the velocity dispersion ${\sigma }_{SIS}$. Via our method, a relative tight constraint to the cosmological model space can be obtained, for the spatially flat $\Lambda$CDM model as an example ${\Omega }_m=0.143_{-0.143-0.143-0.143}^{+0.000769+0.143+0.489}$ in $3\sigma$ regions. And by using this method, one can also probe the nature of dark energy and the spatial curvature of our Universe.

References in corpus (2)

• The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample
• Cosmological parameters from strong gravitational lensing and stellar dynamics in elliptical galaxies

Cited by in corpus (5)

• Assessing the effect of lens mass model in cosmological application with updated galaxy-scale strong gravitational lensing sample
• Transition Redshift: New constraints from parametric and nonparametric methods
• Constraints on a $\varphi$CDM model from strong gravitational lensing and updated Hubble parameter measurements
• Cosmic Constraints to wCDM Model from Strong Gravitational Lensing
• Constraints on Holographic cosmologies from strong lensing systems