论文标题
通过强烈的镜头时间延迟变化测试等效原理
Testing the Equivalence Principle with Strong Lensing Time Delay Variations
论文作者
论文摘要
强烈的镜头时间延迟测量为宇宙学研究提供了一种有价值的，几乎与模型的独立工具。在这项工作中，我们认识到，它们还携带有关镜头红移的重力耦合强度的信息，因此可以原则上用于测试外乳层尺度上的等效原理。对于具有静态质量分布的扩展镜头的情况，我们明确得出了$ \ dot {g}/g $与时间延迟的相对变化之间的分析关系。出于说明性目的，我们将公式应用于Quasar des J0408-5354和模拟的多个图像的光曲线，这导致$ \ dot {g}/g $ of of $ 10^{ - 1^{ - 1} { - 1} -110^{ - 2} {-2} { - 2}} {-2} \，yr^，yr^{-1} $的差异较弱。最后，我们简要讨论如何在下一个将来如何改善这些约束。
Strong lensing time delay measurements provide a valuable and almost model-independent tool for cosmological investigations. In this work we recognize that they also carry information on the strength of the gravitational coupling at the redshift of the lens, and thus could be in principle used to test the equivalence principle on extragalactic scales. For the case of an extended lens with a static mass distribution we explicitly derive an analytical relation between $\dot{G}/G$ and the relative variation of the time delay. For illustrative purpose, we apply our formula to the light curves of multiple images of the quasar DES J0408-5354 and simulated ones, which results in weak constraints on the variation of $\dot{G}/G$ of order $10^{-1}-10^{-2} \, yr^{-1}$ in the best scenario. Finally, we briefly discuss how those constraints can be improved in the next future.
