论文标题
强烈的镜头重力波作为测试宇宙距离双重性关系的探针
Strongly lensed gravitational waves as the probes to test the cosmic distance duality relation
论文作者
论文摘要
宇宙距离关系（DDR）通过简单公式（即$ d_l =（1+z）^2d_a $，将角直径距离（$ d_a $）和光度距离（$ d_l $）关联。强烈的镜头重力波（GWS）提供了一种独特的方法，可以同时与GW源一起测量$ d_a $和$ d_l $，因此可以用作测试DDR的探针。在本文中，我们希望从未来的爱因斯坦望远镜中使用强烈的GW事件来测试DDR。我们将DDR的可能偏差写为$（1+Z）^2d_a/d_l =η（z）$，并考虑$η（z）$的两个不同的参数化，也就是说，$η_1（z）= 1+η_0z $和$η_2（z）= 1+η_0z/（z）= 1+η_0z/（1+z）$。数值模拟表明，在ET观察到的大约100个强烈镜头的GW事件时，参数$η_0$可以分别以$ 1.3 \％$和$ 3 \％$的限制，分别为第一个和第二个参数。
The cosmic distance relation (DDR) associates the angular diameters distance ($D_A$) and luminosity distance ($D_L$) by a simple formula, i.e., $D_L=(1+z)^2D_A$. The strongly lensed gravitational waves (GWs) provide a unique way to measure $D_A$ and $D_L$ simultaneously to the GW source, hence can be used as probes to test DDR. In this paper, we prospect the use of strongly lensed GW events from the future Einstein Telescope to test DDR. We write the possible deviation of DDR as $(1+z)^2D_A/D_L=η(z)$, and consider two different parametrizations of $η(z)$, namely, $η_1(z)=1+η_0 z$ and $η_2(z)=1+η_0 z/(1+z)$. Numerical simulations show that, with about 100 strongly lensed GW events observed by ET, the parameter $η_0$ can be constrained at $1.3\%$ and $3\%$ levels for the first and second parametrizations, respectively.
