Fractal local galaxy number counts may imply strong bias

TL;DR

This paper investigates whether a fractal distribution of galaxies up to 150 Mpc can be consistent with a homogeneous universe, revealing that such a model demands either a non-linear Hubble law or low matter density.

Contribution

It introduces an analysis using exact Tolman solutions to examine the implications of a fractal galaxy distribution in a large-scale homogeneous universe.

Findings

Fractal galaxy counts imply a non-linear Hubble law or low density.

A fractal distribution up to 150 Mpc challenges standard cosmological assumptions.

The model's viability depends on specific cosmological parameters.

Abstract

Exact Tolman solutions are used to analyse the implications if the galactic number has a fractal form out to a distance of about 150 Mpc in a universe which is homogeneous on the large scale. It is concluded that such a model requires either a non-linear Hubble law or a very low density if galaxies trace the total matter distribution.