Anisotropy in the Hubble constant as modeled by density gradients

TL;DR

This paper models the anisotropy in the Hubble constant by introducing a variable-density intergalactic plasma, using multiple models including Voronoi diagrams and galaxy distribution data to reproduce observed variations.

Contribution

It presents a novel approach by integrating different density gradient models to explain Hubble constant anisotropy, supported by simulations and galaxy data analysis.

Findings

Reproduces observed Hubble constant variation using plasma density models

Demonstrates the effectiveness of Voronoi diagrams and galaxy distribution models

Provides simulation results consistent with observational data

Abstract

The all-sky maps of the observed variation of the Hubble constant can be reproduced from a theoretical point of view by introducing an intergalactic plasma with a variable number density of electrons. The observed averaged value and variance of the Hubble constant are reproduced by adopting a rim model, an auto-gravitating model, and a Voronoi diagrams model as the backbone for an auto-gravitating medium. We also analyze an astronomer's model based on the 3D spatial distribution of galaxies as given by the 2MASS Redshift Survey and an auto-gravitating Lane--Emden ($n=5$) profile of the electrons. The simulation which involves the Voronoi diagrams is done in a cubic box with sides of 100 Mpc. The simulation which involves the 2MASS covers the range of redshift smaller than 0.05.