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 a theoretical formulation for a two-point correlation function on the light cone and derive a practical approximate expression relevant to the discussion of clustering of high-redshift objects at large separations. As a specific example, we present predictions of the two-point correlation function for the Durham/AAT, SDSS, and 2dF quasar catalogues. We also briefly discuss the effects of adopted luminosity function, cosmological parameters, and bias models on the correlation function on the light cone.
All Science Journal Classification (ASJC) codes
- Astronomy and Astrophysics
- Space and Planetary Science