论文标题
在第二次观测高级Ligo和高级处女座运行期间，识别强力波镜头
Identifying strong gravitational-wave lensing during the second observing run of Advanced LIGO and Advanced Virgo
论文作者
论文摘要
我们使用参数估计进行贝叶斯模型选择，以从高级里戈和晚期处女座的第二个观察跑（O2）中识别潜在的镜头重力波图像。具体而言，我们计算了使用嵌套采样的一对被镜头或未镜头镜头镜头的贝叶斯证据。我们考虑如果重力波信号与模型选择中的晶状体苛性剂相互作用，则可以诱导的离散聚合相移。我们发现，这一事件，GW170104和GW170814，具有$π/2 $合并相移，具有重要的贝叶斯因子（$ b^l_ {u} $ $ \ sim $ \ sim 1.98 \ times 10^4 $），有利于透镜假设。但是，考虑到两次事件之间的长时间延迟大约7个月后，定时贝叶斯因子显着很小（$ b_t \ sim 8.7 \ times10^{ - 2} $）。对于银河系和星系簇镜头，检测O2敏感性强烈的镜头对的先验概率极小。将镜头和定时贝叶斯因子与镜头上的先前赔率相结合的优势比为$ o^l_ {u} \ sim 20 $。但是，定时和先前赔率因素的模型依赖性并不能提供强有力的证据，以证明这对有很强的镜头。
We perform Bayesian model selection with parameter estimation to identify potentially lensed gravitational-wave images from the second observing run (O2) of Advanced LIGO and Advanced Virgo. Specifically, we compute the Bayesian evidence for a pair of events being lensed or not lensed (unlensed) using nested sampling. We consider the discrete coalescence phase shifts that can be induced if the gravitational-wave signal interacts with the lens caustics in the model selection. We find that the pair of events, GW170104 and GW170814 with a $π/2$ coalescence phase shift, has a significant Bayes factor ($B^L_{U}$ $\sim 1.98 \times 10^4$) favoring the lensing hypothesis. However, after taking into account the long time delay of approximately 7 months between events, the timing Bayes factor is significantly small ($B_t \sim 8.7\times10^{-2}$). The prior probability for detecting strongly lensed pairs at O2 sensitivity are exceedingly small for both galaxy and galaxy cluster lensing. Combining the lensing and timing Bayes factors with the prior odds on lensing gives an odds ratio of $O^L_{U} \sim 20$. However, the model dependence of the timing and prior odds factors does not provide strong evidence to demonstrate that the pair is strongly lensed.
