Purely radiative irrotational dust spacetimes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages, ERE 2006 conference, minor corrections

Scientific paper

10.1088/1742-6596/66/1/012023

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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