Radial Density Statistics of the Galaxy Distribution and the Luminosity Function
Alvaro S. Iribarrem (1), Marcelo B. Ribeiro (1), William R. Stoeger, (2) ((1) Federal University of Rio de Janeiro - UFRJ, (2) Vatican, Observatory, University of Arizona)

TL;DR
This paper explores the relationship between relativistic galaxy counts and luminosity functions, revealing distortions at higher redshifts influenced by the choice of cosmological distance measures.
Contribution
It establishes a connection between relativistic number counts and the galaxy luminosity function, analyzing how different distance measures affect observational distortions.
Findings
Distortions increase with redshift in observational data.
Different cosmological distance measures influence the observed galaxy counts.
Relativistic effects impact the interpretation of galaxy luminosity functions.
Abstract
This paper discusses a connection between the relativistic number counts of cosmological sources and the observed galaxy luminosity function (LF). Observational differential number densities are defined and obtained from published LF data using such connection. We observe a distortion in the observational quantities that increases with higher redshift values as compared to the theoretical predictions. The use of different cosmological distance measures plays a role in such a distortion
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