Two-point correlation functions of high-redshift objects on a light-cone

Astronomy and Astrophysics – Astrophysics

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Relativity And Gravitation

Scientific paper

A theoretical formulation for a two-point correlation function of high-redshift objects is investigated. While all the cosmological observations are carried out on a light-cone, the null hypersurface of an observer at z=0, the clustering statistics has been properly defined only on the constant-time hypersurface. We develop the theoretical formulation for the two-point correlation function on the light-cone, and derive a simple approximate expression relevant to the discussion of clustering of high-redshift objects. As an example, we present a prediction of the two-point correlation function for the SDSS quasar catalogue.

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