Strong Gravitational Lensing and Its Cosmic Constraints

TL;DR

This paper introduces a novel method using strong gravitational lensing data to tightly constrain cosmological models, effectively eliminating certain uncertainties and providing insights into dark energy and universe curvature.

Contribution

The paper presents a new approach to analyze strong lensing data that removes specific uncertainties, enabling more precise cosmological constraints.

Findings

Tight constraints on the flat ΛCDM model parameters.

Method effectively eliminates uncertainties related to velocity dispersion relations.

Potential to probe dark energy and spatial curvature.

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 $\mathcal{D}^{obs}_{ij}=\theta_{\mathrm{E_{\mathrm{i}}}}\sigma_{\mathrm{0_{\mathrm{j}}}}^2/\theta_{\mathrm{E_{\mathrm{j}}}}\sigma_{\mathrm{0_{\mathrm{i}}}}^2$ 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.