Cosmological Redshift-Space Distortion II: distance in an inhomogeneous universe and evolution of bias

Abstract

We discuss the two potentially important effects which should be taken into account in the analysis of the cosmological redshift-space distortion especially at high redshifts; the effect of inhomogeneities in the light propagation and the evolution of bias. Although such inhomogeneities affect significantly the degree of the cosmological redshift distortion, one can determine the density parameter $Ω_0$ from the distortion pattern at $z=0$, and the cosmological constant $λ_0$ from that at $z = (1\sim 2)$. In particular we show that in low-density ($Ω_0\ll 1$) universes one can determine the value of $λ_0$ and even the evolution of the bias parameter almost insensitively to the degree of the clumpiness of the matter distribution in the universe.