Cosmological Redshift Distortion of Correlation Functions as a Probe of the Density Parameter and the Cosmological Constant

Abstract

We propose cosmological redshift-space distortion of correlation functions of galaxies and quasars as a probe of both the density parameter $\Omega_0$ and the cosmological constant $\lambda_0$. In particular, we show that redshift-space distortion of quasar correlation functions at $z\sim2$ can in principle set a constraint on the value of $\lambda_0$. This is in contrast to the popular analysis of galaxy correlation functions in redshift space which basically determines $\Omega_0^{0.6}/b$, where $b$ is the bias parameter, but is insensitive to $\lambda_0$. For specific applications, we present redshift-space distortion of correlation functions both in cold dark matter models and in power-law correlation function models, and discuss the extent to which one can discriminate between the different $\lambda_0$ models.