4.6 Article

A consistency relation for the observed galaxy bispectrum and the local non-Gaussianity from relativistic corrections

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2015/08/018

Keywords

galaxy clustering; redshift surveys; gravity

Funding

  1. European Social Fund (ESF)
  2. European Unions Seventh Framework Program (FP7) under REA grant [329083]
  3. Swiss National Science Foundation (SNSF) [200021140236]
  4. Tomalla foundation for Gravity Research

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We obtain a consistency relation for the observed three-point correlator of galaxies. It includes relativistic effects and it is valid in the squeezed limit. Furthermore, the consistency relation is non-perturbative and can be used at arbitrarily small scales for the short modes. Our results are also useful to compute the non-linear relativistic corrections which induce a signal in the observations that might be misinterpreted as primordial non-Gaussianity with a local shape. We estimate the effective local non-Gaussianity parameter from the relativistic corrections. The exact value depends on the redshift and the magnification bias. At redshift of z = 1.5, in the absence of magnification bias, we get f(NL)(GR) similar or equal to -3.0.

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