  We examine the cosmological redshift-space distortion effect on the power
spectrum of the 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-resolution N-body simulations in cold dark matter models. We find that the
theoretical modeling on the basis of the fitting formulae of nonlinear density
and velocity fields accurately describes the numerical results, especially in
quasi-nonlinear regimes. These corrections for nonlinear effects are essential
in order to use the the cosmological redshift-space distortion as a
cosmological test. We perform a feasibility test to derive constraints from the
future catalogues of high-redshift quasars using our theoretical modeling and
results of N-body simulations. Applying the present methodology to the future
data from on-going surveys of high-redshift galaxies and quasars will provide a
useful tool to constrain a geometry of the universe.
