The nonlinear redshift space probability distribution function in models with local primordial non-Gaussianity

Abstract

We use the ellipsoidal collapse approximation to investigate the nonlinear redshift space evolution of the density field with primordial non-Gaussianity of the local f_{nl}-type. We utilize the joint distribution of eigenvalues of the initial non-Gaussian shear field and evaluate the evolved redshift space probability distribution function (PDF). It is shown that, similar to the real space analysis, the underdense tail of the nonlinear redshift space PDF differs significantly from that for Gaussian initial conditions. We also derive the lowest order correction of the Kaiser's formulain the presence of a non-zero f_{nl}.

Matched version accepted by MNRAS

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• A numerical study of the effects of primordial non-Gaussianities on weak lensing statistics
• Large-scale Velocities and Primordial Non-Gaussianity
• The pairwise velocity probability density function in models with local primordial non-Gaussianity
• Abundance of peaks and dips in three-dimensional mass and halo density fields: a test for cosmology