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Purely radiative irrotational dust spacetimes

N Van den Bergh·B Bastiaensen·H R Karimian·L Wylleman
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Abstract

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.

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N Van den Bergh, B Bastiaensen, H R Karimian, L Wylleman. 2007-02-27. Purely radiative irrotational dust spacetimes. https://doi.org/10.1088/1742-6596%2F66%2F1%2F012023

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