论文标题

在大规模结构中用相对论效应测量时间的失真

Measuring the distortion of time with relativistic effects in large-scale structure

论文作者

Sobral-Blanco, Daniel, Bonvin, Camille

论文摘要

为了测试重力理论,需要一方面测试时间和时间如何因物质而扭曲,另一方面,物质如何在扭曲的时空中移动。当前的观察结果通过所谓的红移空间扭曲提供了对物质运动的严格限制,但它们仅通过重力镜头对空间和时间畸变的总和进行测量。在这封信中,我们开发了一种单独测量时间失真的方法。我们表明,即将到来的星系调查(如平方公里阵列)将使我们能够以10-30%的精度测量时间的变形。这样的测量对于以完全独立的方式测试$λ$ CDM模型的偏差至关重要。特别是,它可用于比较时空的空间和时间扭曲,并明确区分重力的修饰和作用于暗物质的深色第五力。

To test the theory of gravity one needs to test, on one hand, how space and time are distorted by matter and, on the other hand, how matter moves in a distorted space-time. Current observations provide tight constraints on the motion of matter, through the so-called redshift-space distortions, but they only provide a measurement of the sum of the spatial and temporal distortions, via gravitational lensing. In this Letter, we develop a method to measure the time distortion on its own. We show that the coming generation of galaxy surveys, like the Square Kilometer Array, will allow us to measure the distortion of time with an accuracy of 10-30%. Such a measurement will be essential to test deviations from the $Λ$CDM model in a fully model-independent way. In particular, it can be used to compare the spatial and temporal distortions of space-time and to unambiguously distinguish between modifications of gravity and dark fifth forces acting on dark matter.

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