English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we use a recently compiled data set, which comprises 118galactic-scale strong gravitational lensing (SGL) systems to constrain thestatistic property of SGL system, as well as the curvature of universe withoutassuming any fiducial cosmological model. Based on the singular isothermalellipsoid (SIE) model of SGL system, we obtain that the constrained curvatureparameter $\Omega_{\rm k}$ is close to zero from the SGL data, which isconsistent with the latest result of planck measurement. More interestingly, wefind that the parameter $f$ in the SIE model is strongly correlated with thecurvature $\Omega_{\rm k}$. Neglecting this correlation in the analysis willsignificantly overestimate the constraining power of SGL data on the curvature.Furthermore, the obtained constraint on $f$ is different from previous results:$f=1.105\pm0.030$ ($68\%$ C.L.), which means that the standard singularisothermal sphere (SIS) model ($f=1$) is disfavored by the current SGL data atmore than $3\sigma$ confidence level. We also divide the whole SGL data intotwo parts according to the centric stellar velocity dispersion $\sigma_{\rm c}$and find that the larger value of $\sigma_{\rm c}$ the subsample has, the morefavored the standard SIS model is. Finally, we extend the SIE model by assumingthe power-law density profiles for the total mass density,$\rho=\rho_0(r/r_0)^{-\alpha}$, and luminosity density,$\nu=\nu_0(r/r_0)^{-\delta}$, and obtain the constraints on the power-lawindexes: $\alpha=1.95\pm0.04$ and $\delta=2.40\pm0.13$ at 68\% confidencelevel. When assuming the power-law index $\alpha=\delta=\gamma$, this scenariois totally disfavored by the current SGL data, $\chi^2_{\rm min,\gamma} -\chi^2_{\rm min,SIE} \simeq 53$.

astrophysical journal/the astrophysical journal

Revisiting Studies of the Statistical Property of a Strong Gravitational  Lens System and Model-independent Constraint on the Curvature of the Universe