Abstract

We use the ellipsoidal collapse approximation to investigate the non-linear redshift space evolution of the density field with primordial non-Gaussianity of the local fnl-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 non-linear redshift space PDF differs significantly from that for Gaussian initial conditions. We also derive the lowest order correction of the Kaiser's formula in the presence of a non-zero fnl.