Cosmological redshift-space distortion on clustering of high-redshift objects: correction for nonlinear effects in power spectrum and tests with N-body simulations

摘要

We examine the cosmological redshift-space distortion effect on the powerspectrum of the objects at high-redshifts, which is an unavoidableobservational contamination in general relativistic cosmology. In particular,we consider the nonlinear effects of density and velocity evolution usinghigh-resolution N-body simulations in cold dark matter models. We find that thetheoretical modeling on the basis of the fitting formulae of nonlinear densityand velocity fields accurately describes the numerical results, especially inquasi-nonlinear regimes. These corrections for nonlinear effects are essentialin order to use the the cosmological redshift-space distortion as acosmological test. We perform a feasibility test to derive constraints from thefuture catalogues of high-redshift quasars using our theoretical modeling andresults of N-body simulations. Applying the present methodology to the futuredata from on-going surveys of high-redshift galaxies and quasars will provide auseful tool to constrain a geometry of the universe.