A linear relation between galaxy-lensing cross-correlations to test the cosmological principle model-independently
Cosmology and Nongalactic Astrophysics
2021-06-08 v1 General Relativity and Quantum Cosmology
Abstract
We discover a linear relation between two sets of galaxy-lensing cross-correlations. This linear relation holds, as long as light follows the geodesic and the metric is Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW). Violation of the cosmological principle (and equivalently the FLRW metric) will break this linear relation. Therefore it provides a powerful test of the cosmological principle, based on direct observables and relied on no specific cosmological models. We demonstrate that stage IV galaxy surveys and CMB-S4 experiments will be able to test this linear relation stringently and therefore test the cosmological principle robustly.
Keywords
Cite
@article{arxiv.2106.03298,
title = {A linear relation between galaxy-lensing cross-correlations to test the cosmological principle model-independently},
author = {Hai Yu and Pengjie Zhang and Jiaxin Wang and Ji Yao and Fa-yin Wang},
journal= {arXiv preprint arXiv:2106.03298},
year = {2021}
}
Comments
5 pages, 3 figures. Submitted