论文标题

使用相对论效应在星系调查中对等效原理的无效测试

A null test of the equivalence principle using relativistic effects in galaxy surveys

论文作者

Bonvin, Camille, Franco, Felipe Oliveira, Fleury, Pierre

论文摘要

弱等效原理是一般相对论的基石之一。它的有效性在太阳系中以令人印象深刻的精度进行了测试,实验涉及重型物质和光。但是,就宇宙学量表和暗物质而言,该原理的有效性仍然未知。在本文中,我们构建了一个无效测试,该测试探究了对等效原理对暗物质的有效性。我们的测试具有强大的优势,即可以将其应用于数据,而无需依赖重力理论的任何建模。它涉及红移空间扭曲和在星系数计数波动中的相对论效应的结合,并且仅当等效原理成立时就消失了。我们表明,无效测试对其他宇宙学参数中的典型不确定性非常不敏感,包括放大倍率偏置参数和非线性效应,这使得这是对修饰的重力的强大无效测试。

The weak equivalence principle is one of the cornerstone of general relativity. Its validity has been tested with impressive precision in the Solar System, with experiments involving baryonic matter and light. However, on cosmological scales and when dark matter is concerned, the validity of this principle is still unknown. In this paper we construct a null test that probes the validity of the equivalence principle for dark matter. Our test has the strong advantage that it can be applied on data without relying on any modelling of the theory of gravity. It involves a combination of redshift-space distortions and relativistic effects in the galaxy number-count fluctuation, that vanishes if and only if the equivalence principle holds. We show that the null test is very insensitive to typical uncertainties in other cosmological parameters, including the magnification bias parameter, and to non-linear effects, making this a robust null test for modified gravity.

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