Two‐Point Correlation Function of High‐Redshift Objects on a Light Cone: Effect of the Linear Redshift‐Space Distortion

Abstract

A theoretical formulation for the two-point correlation function on a light-cone is developed in the redshift space. On the basis of the previous work by Yamamoto & Suto (1999), in which a theoretical formula for the two-point correlation function on a light-cone has been developed in the real space, we extend it to the formula in the redshift space by taking the peculiar velocity of the sources into account. A simple expression for the two-point correlation function is derived. We briefly discuss QSO correlation functions on a light-cone adopting a simple model of the sources.