Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing

[2412.08627] Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Astrophysics > Cosmology and Nongalactic Astrophysics arXiv:2412.08627 (astro-ph) [Submitted on 11 Dec 2024 ( v1 ), last revised 9 Apr 2026 (this version, v3)] Title: Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing Authors: Sveva Castello , Ziyang Zheng , Camille Bonvin , Luca Amendola View a PDF of the paper titled Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing, by Sveva Castello and 3 other authors View PDF HTML (experimental) Abstract: We present a test of the equivalence principle on cosmological scales. This cornerstone of general relativity has been tested with high precision for standard matter, but its validity for the unknown dark matter remains a crucial open question. We construct a measurable quantity $E_P$ that acts as a null test, i.e. it deviates from unity whenever the weak equivalence principle is violated. This quantity can be directly measured from the cross-correlation of two different galaxy populations, thanks to the inclusion of large-scale relativistic corrections. A key feature of our approach is that it only involves minimal assumptions, without the need to specify the power spectrum shape, the background evolution, the growth rate of cosmic structure, the galaxy bias function or a model for the potential violation of the equivalence principle. We provide forecasts for the Dark Energy Spectroscopic Instrument and the Square Kilometre Array (SKA). While the relativistic corrections can be detected with high significance by both surveys, $E_P$ can be constrained up to an interesting level only by SKA, with a precision around 7-15$\%$ within the redshift range $z < 0.6$. Comments: v3: updated magnification bias modelling - DESI: matched to simulations, SKA: fixed minor typo; no significant impact on the results Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO) ; General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv:2412.08627 [astro-ph.CO] (or arXiv:2412.08627v3 [astro-ph.CO] for this version) https://doi.org/10.48550/arXiv.2412.08627 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys.Rev.D 111 (2025) 12, 123559 Related DOI : https://doi.org/10.1103/1my7-zklj Focus to learn more DOI(s) linking to related resources Submission history From: Sveva Castello [ view email ] [v1] Wed, 11 Dec 2024 18:48:01 UTC (217 KB) [v2] Mon, 19 May 2025 14:46:40 UTC (114 KB) [v3] Thu, 9 Apr 2026 12:17:53 UTC (112 KB) Full-text links: Access Paper: View a PDF of the paper titled Testing the equivalence principle across the Universe: a model-independent approach with galaxy multi-tracing, by Sveva Castello and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: astro-ph.CO < prev | next > new | recent | 2024-12 Change to browse by: astro-ph gr-qc References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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