Redshift-space distortions of the power spectrum of cosmological objects on a light cone: Explicit formulations and theoretical implications

Hiroaki Nishioka, Kazuhiro Yamamoto

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1 Citation (Scopus)


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 a 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 that roughly match the Sloan Digital Sky Survey, we will show how the redshift-space distortions distort the power spectrum on the light cone quantitatively.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalAstrophysical Journal, Supplement Series
Issue number1
Publication statusPublished - May 1 2000
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

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