Cosmological Implications of the BIMA 30 GHz SunyaevZeldovich Effect Galaxy Cluster Survey
Abstract
We explore the cosmological implications of seven deep survey fields observed at the BerkeleyIllinoisMaryland Association (BIMA) array with 30 GHz receivers. These observations probe the cosmic microwave background anisotropy on scales corresponding to l~5500, and an earlier analysis of these data detected no galaxy clusters via the SunyaevZeldovich effect (SZE). We use numerical cluster simulations and mock observations to characterize the cluster detection efficiency for each of the BIMA fields. With these detection efficiencies we derive constraints on the cosmological parameters Ω_{M} and σ_{8}, ruling out those models that overproduce galaxy clusters. Using only these seven BIMA fields, we calculate a 2 σ upper limit of σ_{8}<1.00Ω^{0.43ΩM 0.22}_{M} for flat models with 0.1<=Ω_{M}<=1. When the power spectrum of density fluctuations is COBEnormalized, we find Ω_{M}<0.63 at 95% confidence level for flat models. This constraint includes our estimate of the large uncertainties in the SZE fluxvirial mass relationship, as well as published uncertainties in the Hubble parameter, the COBE power spectrum normalization, and the primordial power spectrum index. In addition, we account for the effects of sample variance. Thus, given the sensitivity and solid angle of the deepest SZE survey to date, we conclude that no cluster detections were to be expected in a lowΩ_{M} universe. Because of the redshiftindependent nature of the SZE, our constraint is driven by the absence of sufficiently massive clusters in the redshift range 0.5<=z<=1, making this analysis quite different and complementary to the deepest existing Xray cluster survey analyses.
 Publication:

The Astrophysical Journal
 Pub Date:
 January 2003
 DOI:
 10.1086/344749
 arXiv:
 arXiv:astroph/0208005
 Bibcode:
 2003ApJ...582..574L
 Keywords:

 Cosmology: Cosmic Microwave Background;
 Cosmology: Observations;
 Galaxies: Clusters: General;
 Astrophysics
 EPrint:
 Latex 11 pages and 6 figures, submitted to ApJ June 28, 2002