Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Gravitational Lensing and Its Cosmic Constraints   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.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin