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Purely radiative perfect fluids with a degenerate shear tensor

Year: 2008
Type: article
Abstract: We consider non-rotating geodesic perfect fluid spacetimes which are purely radiative in the sense that the gravitational field satisfies the covariant transverse conditions div H = div E = 0. We show that when the shear tensor S is degenerate, H, E and S necessarily commute and hence the resulting spacetimes are hypersurface homogeneous of Bianchi class A (modulo some purely electric exceptions).
Institution: Ghent University
Language: English
Open Access status: green
OpenAlex ID: W1987358912
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Cites: 15
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Related to: 10