Purely radiative irrotational dust spacetimes

We consider irrotational dust spacetimes in the full non-linear regime which are "purely radiative" in the sense that the gravitational field satisfies the covariant transverse conditions div(H) = div(E) = 0. Within this family we show that the Bianchi class A spatially homogeneous dust mo...

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Bibliographic Details
Published inarXiv.org
Main Authors Van den Bergh, N, Bastiaensen, B, Karimian, H R, Wylleman, L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.02.2007
Subjects
Dust
Gravitational fields
Spacetime
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Summary:We consider irrotational dust spacetimes in the full non-linear regime which are "purely radiative" in the sense that the gravitational field satisfies the covariant transverse conditions div(H) = div(E) = 0. Within this family we show that the Bianchi class A spatially homogeneous dust models are uniquely characterised by the condition that \(H\) is diagonal in the shear-eigenframe.
ISSN:2331-8422
DOI:10.48550/arxiv.0611079