Cosmological Redshift in a Bianchi I Axisymmetric Model: A Qualitative Analysis

TL;DR

This paper qualitatively analyzes how cosmological redshift behaves in an anisotropic Bianchi I universe model across different conditions, addressing potential anisotropies suggested by CMB anomalies.

Contribution

It provides a novel qualitative analysis of redshift behavior in Bianchi I models considering vacuum, dust, and radiation dominated universes, extending understanding of anisotropic cosmologies.

Findings

Redshift behavior varies with anisotropy and matter content.

Coordinate transformations reveal different redshift patterns.

Results inform models of early universe anisotropies.

Abstract

Cosmic Microwave Background anomalies suggest that the Universe is slightly anisotropic, so a Cosmological Model that does not satisfy the Cosmological Principle is necessary. Anisotropic Bianchi models have been studied given that they would be necessary to understand the early stages of the Universe. In this paper, we analyze qualitatively the behavior of the cosmological redshift in a Bianchi type I model after a coordinate transformation in three cases: vacuum with no vanishing cosmological constant $\Lambda \not= 0$, universe dominated by dust and universe dominated by radiation.