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Two-point correlation function of high-redshift objects on a light-cone: Effect of the linear redshift-space distortion

Hiroaki Nishioka·Kazuhiro Yamamoto
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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.

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Hiroaki Nishioka, Kazuhiro Yamamoto. 1999-03-12. Two-point correlation function of high-redshift objects on a light-cone: Effect of the linear redshift-space distortion. https://doi.org/10.1086/307492

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