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gr-qc2022
Axial Bianchi IX and its Lema{î}tre-Hubble diagram
Galliano Valent, André Tilquin, Thomas Schücker
We compute the Lema{î}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…
gr-qc2011
Further results on non-diagonal Bianchi type III vacuum metrics
Galliano Valent
We present the derivation, for these vacuum metrics, of the Painlevé VI equation first obtained by Christodoulakis and Terzis, from the field equations for both minkowskian and euc…
gr-qc2008
Bianchi III and V Einstein metrics
Galliano Valent
We present diagonal Einstein metrics for Bianchi III and V, both for minkowskian and euclidean signatures and we show that the Einstein Bianchi III metrics have an integrable geode…