The effect of bias and redshift distortions on a geometric test for the cosmological constant
Abstract
We revisit the feasibility of a cosmological test with the geometric distortion focusing on an ambiguous factor of the evolution of bias. Starting from defining estimators for the spatial twopoint correlation function and the power spectrum, in a rigorous manner, we derive useful formulas for the twopoint clustering statistics which take the lightcone effect and the redshiftspace distortions into account. Then we investigate how the predicted correlation functions are affected by the redshiftspace distortions and the bias assuming quasar samples which roughly match the 2dF survey. Effect of the bias is crucial, in particular, on anisotropic component of the clustering statistics in redshiftspace. By surveying behavior of the predicted correlation functions to parameters of a phenomenological model for the evolution of bias, it is shown that the correlation functions on the lightcone is sensitive to a mean amplitude of the bias and rather insensitive to the speed of its redshiftevolution. This feature is useful for an analysis of the geometric test.
 Publication:

arXiv eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:astroph/0012433
 Bibcode:
 2000astro.ph.12433Y
 Keywords:

 Astrophysics
 EPrint:
 23 pages, 9 figures, revised version submitted to MNRAS