Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity

Abstract

We obtain exact expressions for the effect of primordial non-Gaussianity on the matter density perturbation up to second order in a LambdaCDM 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.

15 pages. LaTeX file. Invited article for CQG issue on non-linear cosmology

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• The Poisson equation at second order in relativistic cosmology
• Searching for primordial non-Gaussianity in Planck CMB maps using a combined estimator
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• Cosmological dynamics: from the Eulerian to the Lagrangian frame - I. Newtonian approximation
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• Post-Newtonian cosmological dynamics of plane-parallel perturbations and back-reaction
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• Signatures of Primordial Gravitational Waves on the Large-Scale Structure of the Universe