A Consistency Relation for the Observed Galaxy Bispectrum and the Local non-Gaussianity from Relativistic Corrections

Understand

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.