标题： 强引力透镜系统的宇宙学 显示英文标题

标题： Cosmology with Strong Lensing Systems

摘要： 本文中，我们从SLACS、BELLS、LSD和SL2S巡天中整理出118个强引力透镜系统，并用它们来限制宇宙的状态方程。特别是，我们考虑了暗能量现象学的两种情况：在 $XCDM$ 模型中，暗能量由具有恒定 $w$ 状态方程参数的流体建模；在Chevalier-Polarski-Linder (CPL) 参数化中， $w$ 允许随红移 $w(z) = w_0 + w_1 \frac{z}{1+z}$ 进化。我们假设透镜星系中的质量分布是球对称的，但放松了SIS模型严格的假设，转而采用更一般的幂律指数 $\gamma$，并且允许其随红移 $\gamma(z)$ 进化。 我们的研究结果显示，对于$XCDM$宇宙学模型，所得到的数值（涉及$w$和$\gamma$参数）与其他作者的结果一致。 我们进一步通过联合限制 CPL 参数与$\gamma(z)$来进行更深入的研究。 由此得出的参数置信区间比过去使用类似方法得到的结果要好得多。 它们还显示出与超新星 Ia 数据互补的趋势。 我们的分析表明，强引力透镜系统可以用来探测宇宙学参数，例如暗能量的宇宙状态方程。 此外，它们还有潜力判断宇宙的状态方程是否随时间演化。 显示英文摘要

摘要： In this paper, we assemble a catalog of 118 strong gravitational lensing systems from SLACS, BELLS, LSD and SL2S surveys and use them to constrain the cosmic equation of state. In particular we consider two cases of dark energy phenomenology: $XCDM$ model where dark energy is modeled by a fluid with constant $w$ equation of state parameter and in Chevalier - Polarski - Linder (CPL) parametrization where $w$ is allowed to evolve with redshift: $w(z) = w_0 + w_1 \frac{z}{1+z}$. We assume spherically symmetric mass distribution in lensing galaxies, but relax the rigid assumption of SIS model in favor to more general power-law index $\gamma$, also allowing it to evolve with redshifts $\gamma(z)$. Our results for the $XCDM$ cosmology show the agreement with values (concerning both $w$ and $\gamma$ parameters) obtained by other authors. We go further and constrain the CPL parameters jointly with $\gamma(z)$. The resulting confidence regions for the parameters are much better than those obtained with a similar method in the past. They are also showing a trend of being complementary to the supernova Ia data. Our analysis demonstrates that strong gravitational lensing systems can be used to probe cosmological parameters like the cosmic equation of state for dark energy. Moreover, they have a potential to judge whether the cosmic equation of state evolved with time or not.