论文标题
将重力镜头和重力红移结合在一起，以测量各向异性应力与未来的星系调查
Combining gravitational lensing and gravitational redshift to measure the anisotropic stress with future galaxy surveys
论文作者
论文摘要
星系调查提供了限制宇宙学量表重力理论的最佳方法之一。它们可用于限制两个编码时间的引力电势，$ψ$，空间，$φ$，扭曲，它们在一般相对性中的后期完全相等。因此，导致非零各向异性应力的任何小变化，即这些电位之间的差异，都将是修饰的重力的指示。当前的分析通常考虑引力镜头和红移空间扭曲以限制各向异性应力，但是这些依赖于某些假设，例如弱等效原理的有效性，以及编码偏离一般相对论的函数的特定时间演变。在这项工作中，我们提出了可观察到的引力镜头的重新训练，以及使用星系相关功能的相对论偶极子直接测量最小假设的各向异性应力。我们考虑了对Vera C. Rubin天文台和未来平方公里阵列的空间和时间的未来遗产调查，并表明将重力透镜和重力红移与所提出的方法相结合，我们将在$ \ sim 20 \，\ sim \ sim \ sim \ sim \ sim \ sim \％的水平上实现与模型无关的限制。
Galaxy surveys provide one of the best ways to constrain the theory of gravity at cosmological scales. They can be used to constrain the two gravitational potentials encoding time, $Ψ$, and spatial, $Φ$, distortions, which are exactly equal at late time within general relativity. Hence, any small variation leading to a nonzero anisotropic stress, i.e. a difference between these potentials, would be an indication for modified gravity. Current analyses usually consider gravitational lensing and redshift-space distortions to constrain the anisotropic stress, but these rely on certain assumptions like the validity of the weak equivalence principle, and a specific time evolution of the functions encoding deviations from general relativity. In this work, we propose a reparametrization of the gravitational lensing observable, together with the use of the relativistic dipole of the correlation function of galaxies to directly measure the anisotropic stress with a minimum amount of assumptions. We consider the future Legacy Survey of Space and Time of the Vera C. Rubin Observatory and the future Square Kilometer Array, and show that combining gravitational lensing and gravitational redshift with the proposed approach we will achieve model-independent constraints on the anisotropic stress at the level of $\sim 20\,\%$.
