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

Hiroaki Nishioka, Kazuhiro Yamamoto
2000 Astrophysical Journal Supplement Series  
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.
more » ... pplying 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.
doi:10.1086/313381 fatcat:rii3mpwkjje7zcalc5ky5elzua