Axial Bianchi IX and its Lema{\^i}tre-Hubble diagram
General Relativity and Quantum Cosmology
2023-12-19 v2 Cosmology and Nongalactic Astrophysics
Abstract
We compute the Lema{\^i}tre-Hubble diagram for axial Bianchi IX universes with comoving dust. We motivate our choice by defining a {\it minimal} symmetry breaking of the cosmological principle. This criterium admits only two possibilities: the axial Bianchi I and IX universes. The latter have positive curvatures and reduce to the former in the zero curvature limit. Remarkably, negative curvatures are excluded by this minimal symmetry breaking in presence of comoving dust.
Keywords
Cite
@article{arxiv.2211.04844,
title = {Axial Bianchi IX and its Lema{\^i}tre-Hubble diagram},
author = {Galliano Valent and André Tilquin and Thomas Schücker},
journal= {arXiv preprint arXiv:2211.04844},
year = {2023}
}
Comments
42 pages, 2 figures; version 2: references added, in particular to Hall's Lorentzian generalization of the theorem by Fubini used in our work, one figure added, one appendix added