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Axial Bianchi IX and its Lema{\^i}tre-Hubble diagram

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arxiv 2211.04844 v2 pith:TZDFTXX2 submitted 2022-11-09 gr-qc astro-ph.CO

Axial Bianchi IX and its Lema{\^i}tre-Hubble diagram

classification gr-qc astro-ph.CO
keywords axialbianchibreakingcomovingcurvaturesdiagramdustlema
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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