The Luminosity Function of Low-Redshift Abell Galaxy Clusters
Wayne A. Barkhouse (1), H. K. C. Yee (2), Omar L\'opez-Cruz (3) ((1), Department of Astronomy, University of Illinois, (2) Department of Astronomy, and Astrophysics, University of Toronto, (3) Instituto Nacional de, Astrof\'isica, Optica y Electr\'onica)

TL;DR
This study analyzes the luminosity functions of 57 low-redshift Abell galaxy clusters, revealing radial dependence, bimodal red/blue galaxy distributions, and a near-universal bright-end shape, with implications for galaxy evolution.
Contribution
It provides the first detailed analysis of the radial dependence of the luminosity function in low-redshift Abell clusters, including red and blue galaxy populations.
Findings
Faint-end slope steepens towards cluster outskirts.
A two-Schechter function fits the composite LF better than a single.
Blue galaxy LFs have a rising faint-end slope (~-1.7).
Abstract
We present the results from a survey of 57 low-redshift Abell galaxy clusters to study the radial dependence of the luminosity function (LF). The dynamical radius of each cluster, r200, was estimated from the photometric measurement of cluster richness, Bgc. The shape of the LFs are found to correlate with radius such that the faint-end slope, alpha, is generally steeper on the cluster outskirts. The sum of two Schechter functions provides a more adequate fit to the composite LFs than a single Schechter function. LFs based on the selection of red and blue galaxies are bimodal in appearance. The red LFs are generally flat for -22 < M_Rc < -18, with a radius-dependent steepening of alpha for M_Rc > -18. The blue LFs contain a larger contribution from faint galaxies than the red LFs. The blue LFs have a rising faint-end component (alpha ~ -1.7) for M_Rc > -21, with a weaker dependence on…
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