Redshift-space Distortions of the Power Spectrum of Cosmological Objects on a Light Cone : Explicit Formulations and Theoretical Implications

Abstract

We examine the effects of the linear and the cosmological redshift-space distortions on the power spectrum of cosmological objects on a light cone. We develop theoretical formulae for the power spectrum in linear theory of density perturbations in a rigorous manner starting from first principle corresponding to Fourier analysis. Approximate formulae, which are useful properly to incorporate the redshift-space distortion effects into the power spectrum are derived, and the validity is examined. Applying our formulae to galaxy and quasar samples which roughly match the SDSS survey, we will show how the redshift-space distortions distort the power spectrum on the light cone quantitatively.

30 pages, Accepted for publication in the Astrophysical Journal Supplement Series

References in corpus (4)

• The Correlation Function in Redshift Space: General Formula with Wide-angle Effects and Cosmological Distortions
• Cosmological redshift-space distortion on clustering of high-redshift objects: correction for nonlinear effects in power spectrum and tests with N-body simulations
• The cosmological light-cone effect on the power spectrum of galaxies and quasars in wide-field redshift surveys
• The Light-cone Effect on the Clustering Statistics in the Cosmological Redshift Space

Cited by in corpus (2)

• Isodensity Statistics on Clustering of High-z Objects in Cosmological Redshift-spaces
• An Optimally Weighted Estimator of the Linear Power Spectrum Disentangling the Growth of Density Perturbations Across Galaxy Surveys