Cosmological Parameter Determination from Counts of Galaxies

We study constraints that anticipated DEEP survey galaxy counts versus redshift data will place on cosmological model parameters in models with and without a constant or time-variable cosmological constant $Λ$. This data will result in fairly tight constraints on these parameters. For example, if all other parameters of a spatially-flat model with a constant $Λ$ are known, the galaxy counts data should constrain the nonrelativistic matter density parameter $Ω_0$ to about 5% (10%, 1.5%) at 1 $σ$ with neutral (worst case, best case) assumptions about data quality.

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