Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity
N. Bartolo, S. Matarrese, O. Pantano (Padova University), A. Riotto, (INFN, Padova, CERN)
TL;DR
This paper derives exact second-order matter perturbation expressions in LambdaCDM cosmology, including relativistic effects, to better understand primordial non-Gaussianity's impact on large-scale structure.
Contribution
It provides the first comprehensive second-order perturbation formulas incorporating relativistic corrections in LambdaCDM, applicable in multiple gauges.
Findings
Exact second-order matter perturbation expressions derived.
Relativistic corrections included for large-scale scales.
Results applicable to various cosmological observables.
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.
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