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.

20 pages, Final version to be published in ApJ, corrected errors in the earlier manuscript

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• Predicting the Clustering of X-Ray Selected Galaxy Clusters in Flux-Limited Surveys
• The correlation function of X-ray galaxy clusters in the RASS1 Bright Sample
• The cosmological light-cone effect on the power spectrum of galaxies and quasars in wide-field redshift surveys
• Two-point correlation functions of X-ray selected clusters of galaxies: theoretical predictions for flux-limited surveys
• Isodensity Statistics on Clustering of High-z Objects in Cosmological Redshift-spaces
• Redshift-space Distortions of the Power Spectrum of Cosmological Objects on a Light Cone : Explicit Formulations and Theoretical Implications
• An Optimally Weighted Estimator of the Linear Power Spectrum Disentangling the Growth of Density Perturbations Across Galaxy Surveys
• Cosmological constraints from clustering properties of galaxy clusters