Rescuing constraints on modified gravity using gravitational redshift in large-scale structure

Abstract

The distribution of galaxies provides an ideal laboratory to test for deviations from General Relativity. In particular, redshift-space distortions are commonly used to constrain modifications to the Poisson equation, which governs the strength of dark matter clustering. Here, we show that these constraints rely on the validity of the weak equivalence principle, which has never been tested for the dark matter component. Relaxing this restrictive assumption leads to modifications in the growth of structure that are fully degenerate with modifications induced by the Poisson equation. This in turns strongly degrades the constraining power of redshift-space distortions. Such degeneracies can however be broken and tight constraints on modified gravity can be recovered by measuring gravitational redshift from the galaxy distribution, an effect that will be detectable by the coming generation of large-scale structure surveys.

8 pages, 3 figures; summary video at https://youtu.be/-xXmfaq0Zsg

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• Wide-angle effects in the galaxy bispectrum
• Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing
• Disentangling modified gravity from a dark force with gravitational redshift
• Euclid: Relativistic effects in the dipole of the 2-point correlation function
• Using relativistic effects in large-scale structure to constrain astrophysical properties of galaxy populations
• Measurement of the Weyl potential evolution from the first three years of Dark Energy Survey data
• Comparing the motion of dark matter and standard model particles on cosmological scales
• The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect
• A Light-Cone Approach to Higher-Order Cosmological Observables
• Gravitational redshift from large-scale structure: nonlinearities, antisymmetries, and the dipole