The redshift projection - I. Caustics and correlation functions

The relationships between structures in real and redshift space are discussed in the context of the hierarchical scenario. In particular, the formation and properties of caustics in redshift space are investigated. Redshift caustics are shown to be a generic feature of the gravitational instability picture of galaxy formation. The anisotropy of the galaxy distribution in redshift space is also considered. It is shown that the elongation along the line-of-sight of the galaxy–galaxy redshift space correlation function, as measured by Davis & Peebles and Bean et al., indicates that this function is dominated by galaxies in dynamically non-linear regions. The elongation also suggests that the clustering measured by ξgg(r) is dynamical in origin, rather than just due to biasing; it too is likely to be dominated by galaxies in non-linear regions on scales up to 10 h–1 Mpc.⋆

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