We obtain exact expressions for the effect of primordial non-Gaussianity on the matter density perturbation up to second order in a ΛCDM cosmology, fully accounting for the general relativistic corrections arising on scales comparable with the Hubble radius. We present our results both in the Poisson gauge and in the comoving and synchronous gauge, which are relevant for comparison to different cosmological observables.
Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity
BARTOLO, NICOLA;MATARRESE, SABINO;PANTANO, ORNELLA;
2010
Abstract
We obtain exact expressions for the effect of primordial non-Gaussianity on the matter density perturbation up to second order in a ΛCDM cosmology, fully accounting for the general relativistic corrections arising on scales comparable with the Hubble radius. We present our results both in the Poisson gauge and in the comoving and synchronous gauge, which are relevant for comparison to different cosmological observables.
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