The dynamical state of galaxy groups and their luminosity content
Hector J. Martinez (1), Ariel Zandivarez (1,2), ((1) Instituto de, Astronomia Teorica y Experimental, IATE, CONICET-Obervatorio Astronomico de, Cordoba, Cordoba, Argentina, (2) Instituto de Astronomia, Geofisica e, Ciencias Atmosfericas, IAG, Sao Paulo, Brazil)

TL;DR
This study investigates how the dynamical state of galaxy groups, assessed via velocity distribution Gaussianity, influences their galaxy luminosity functions, revealing significant differences in luminosity content between relaxed and non-relaxed groups.
Contribution
It introduces a method to classify galaxy groups by dynamical state using velocity distribution Gaussianity and links this to variations in their luminosity functions, especially in massive groups.
Findings
Gaussian groups have brighter characteristic magnitudes.
Gaussian groups exhibit steeper faint end slopes.
Dynamical state correlates with galaxy luminosity in massive groups.
Abstract
We analyse the dependence of the luminosity function of galaxies in groups (LF) on group dynamical state. We use the Gaussianity of the velocity distribution of galaxy members as a measurement of the dynamical equilibrium of groups identified in the SDSS Data Release 7 by Zandivarez & Martinez. We apply the Anderson-Darling goodness-of-fit test to distinguish between groups according to whether they have Gaussian or Non-Gaussian velocity distributions, i.e., whether they are relaxed or not. For these two subsamples, we compute the band LF as a function of group virial mass and group total luminosity. For massive groups, , we find statistically significant differences between the LF of the two subsamples: the LF of groups that have Gaussian velocity distributions have a brighter characteristic absolute magnitude (…
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