Testing the equivalence principle on cosmological scales using the odd multipoles of galaxy cross-power spectrum and bispectrum. Issue 8 (23rd August 2021)

• Record Type: Journal Article
• Authors: Umeh, Obinna; Koyama, Kazuya; Crittenden, Robert
• Is Part Of: Journal of cosmology and astroparticle physics. Volume 2021:Issue 8(2021)
• Publication Date: 2021-08-23
• Subjects: gravity -- modified gravity -- cosmological parameters from LSS; Cosmology -- Periodicals; Astrophysics -- Periodicals; 523.0105
• DOI: 10.1088/1475-7516/2021/08/049
• Languages: English
• ISSNs: 1475-7516

Abstract

Abstract: One of the cornerstones of general relativity is the equivalence principle. However, the validity of the equivalence principle has only been established on solar system scales for standard matter fields; this result cannot be assumed to hold for the non-standard matter fields that dominate the gravitational dynamics on cosmological scales. Here we show how the equivalence principle may be tested on cosmological scales for non-standard matter fields using the odd multipoles of the galaxy cross-power spectrum and bispectrum. This test makes use of the imprint on the galaxy cross-power spectrum and bispectrum by the parity-violating general relativistic deformations of the past-light cone, and assumes that galaxies can be treated as test particles that are made of baryons and cold dark matter. This assumption leads to a non-zero galaxy-baryon relative velocity if the equivalence principle does not hold between baryons and dark matter. We show that the relative velocity can be constrained to be less than 28% of the galaxy velocity using the cross-power spectrum of the HI intensity mapping/Hα galaxy survey and the bispectrum of the Hα galaxy survey.