Geometric Distortion of the Correlation function of Lyman-break Galaxies

Abstract

The number of galaxies with measured redshifts > 1 is at present rapidly increasing, allowing for measurements of their correlation function. The correlations function is measured in redshift space, as a function of angular separation and velocity difference. The relation between angle and velocity difference depends on the cosmological model through the factor H(z)D(z), where H(z) is the Hubble parameter and D(z) is the angular diameter distance. Therefore, the cosmological model can be constrained by measuring this factor from the shape of the contours of the redshift space correlation function, if the effect of peculiar velocities can be taken into account. Here, we investigate this method applied to the high redshift Lyman-break galaxies. The high bias factor of this galaxy population should suppress peculiar velocity effects, leaving the cosmological distortion as the main contribution to the anisotropy of the correlation function. We estimate the shot noise and cosmic variance errors using linear theory. A field size of at least 0.2 square degrees is required to distinguish the Einstein-de Sitter model from the flat Lambda=0.7 model, if 1.25 Lyman-break galaxies are measured per square arc minute. With a field of 1 square degrees, the cosmological constant can be measured to 20 % accuracy if it is large (> 0.5). Other equations of state for a scalar field can also be constrained.

Accepted for publication in the Astrophysical Journal, Minor changes made

References in corpus (10)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Cosmological Imprint of an Energy Component with General Equation of State
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• A Large Structure of Galaxies At Redshift z~3 and its Cosmological Implications
• The Angular Clustering of Lyman-Break Galaxies at Redshift z=3
• A Counts-in-Cells Analysis of Lyman-break Galaxies at z~3
• The time-evolution of bias
• Constraints on the Effects of Locally-biased Galaxy Formation
• Implications of Spikes in the Redshift Distribution of $z\sim 3$ Galaxies
• The Clustering of Lyman-break Galaxies

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• What will anisotropies in the clustering pattern in redshifted 21 cm maps tell us?
• Apparent Clustering of Intermediate-redshift Galaxies as a Probe of Dark Energy
• Constraining the Cosmological Constant from Large-Scale Redshift-Space Clustering
• Can Geometric Test Probe the Cosmic Equation of State ?