Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constraining Dark Energy From Splitting Angle Statistic of Strong
  Gravitational Lenses   Utilizing the CLASS statistical sample, we investigate the constraint of the
splitting angle statistic of strong gravitational lenses(SGL) on the
equation-of-state parameter $w=p/\rho$ of the dark energy in the flat cold dark
matter cosmology. Through the comoving number density of dark halos described
by Press-Schechter theory, dark energy affects the efficiency with which
dark-matter concentrations produce strong lensing signals. The constraints on
both constant $w$ and time-varying $w(z)=w_0+w_az/(1+z)$ from the SGL splitting
angle statistic are consistently obtained by adopting a two model combined
mechanism of dark halo density profile matched at the mass scale $M_c$. Our
main observations are: (a) the resulting model parameter $M_c$ is found to be
$M_c \sim 1.4$ for both constant $w$ and time-varying $w(z)$, which is larger
than $M_c \sim 1$ obtained in literatures; (b) the fitting results for the
constant $w$ are found to be $w =-0.89^{+0.49}_{-0.26}$ and $w
=-0.94^{+0.57}_{-0.16}$ for the source redshift distributions of the Gaussian
models $g(z_s)$ and $g^c(z_s)$ respectively, which are consistent with the
$\Lambda \rm CDM$ at 95% C.L; (c) the time-varying $w(z)$ is found to be for
$\sigma_8 = 0.74$: $(M_c; w_0, w_a)=(1.36; -0.92, -1.31)$ and $(M_c; w_0,
w_a)=(1.38; -0.89, -1.21)$ for $g(z_s)$ and $g^c(z_s)$ respectively.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th