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arXiv · 0801.3343

Purely radiative perfect fluids with degenerate shear tensor

H. R. Karimian·N. Van den Bergh·L. De Groote
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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).

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H. R. Karimian, N. Van den Bergh, L. De Groote. 2008-04-17. Purely radiative perfect fluids with degenerate shear tensor. https://doi.org/10.1088/0264-9381%2F25%2F12%2F125010

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