Constraints on cosmic curvature with lensing time delays and gravitational waves

Constraints on cosmic curvature with lensing time delays and gravitational waves
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透镜时间延迟和引力波对宇宙曲率的约束

DOI:
10.1103/physrevd.99.083514
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发表时间:
2019-04
期刊:
影响因子:
5
通讯作者:
Kai Liao
Kai Liao
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kai Liao

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假设$\Lambda$CDM模型,CMB和BAO观测表明宇宙是非常平坦的。因此,独立于模型的测量值得研究。在透镜类星体中测量的时间延迟提供了时间延迟距离。与超新星Ia观测的光度距离相比,在FLRW度规的距离求和规则下,测量值可以提供曲率信息。这种方法受到Ia超新星低红移的限制。在这项工作中,我们建议从爱因斯坦望远镜的引力波作为标准的警报器,达到更高的红移覆盖的红移范围的透镜类星体从大天气巡天望远镜,可以提供更严格的约束的曲率。我们首先考虑一个保守的情况,其中只有100个具有电磁对应物的引力波可用,曲率参数$\Omega_k$的$1\sigma$不确定度为0.057。在一个乐观的情况下,有1000个信号可用,那么$\Omega_k$不确定性是0.027。结合暗能量调查的SNe Ia,$\Omega_k$可以进一步分别被限制为0.027和0.018。
Assuming the $\Lambda$CDM model, the CMB and BAO observations indicate a very flat Universe. Model-independent measurements are therefore worth studying. Time delays measured in lensed quasars provide the time delay distances. When compared with the luminosity distances from Supernova Ia observation, the measurements can provide the curvature information under the Distance Sum Rule of FLRW metric. This method is limited by the low redshifts of SNe Ia. In this work, we propose gravitational waves from the Einstein Telescope as standard sirens which reach higher redshifts covering the redshift range of lensed quasars from Large Synoptic Survey Telescope, could provide much more stringent constraints on the curvature. We first consider a conservative case where only 100 gravitational waves with electromagnetic counterparts are available, the $1\sigma$ uncertainty for the curvature parameter $\Omega_k$ is 0.057. In an optimistic case with 1000 signals available, then $\Omega_k$ uncertainty is 0.027. Combining with SNe Ia from Dark Energy Survey, $\Omega_k$ can be further constrained to 0.027 and 0.018, respectively.
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