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

We examine the cosmological redshift-space distortion effect on the power s pectrum of objects at high redshifts,which is an unavoidable observational contamination in general relativistic cosmology. In particular, we consider the nonlinear effects of density and velocity evolution using high-resolut ion N-body simulations in cold dark matter models. We find that theoretical modeling on the basis of the fitting formulae of nonlinear density and vel ocity fields accurately describes the numerical results, especially in quas i-nonlinear regimes. These corrections for nonlinear effects are essential in order to use the cosmological redshift-space distortion as a cosmologica l test. We perform a feasibility test to derive constraints from the future catalogs of high-redshift quasars using our theoretical modeling and resul ts of N-body simulations. Applying the present methodology to the future da ta from ongoing surveys of high-redshift galaxies and quasars will provide a useful tool to constrain a geometry of the universe.