Purely radiative perfect fluids with degenerate shear tensor

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages, references added, typos corrected, simplified some algebraic manipulations

Scientific paper

10.1088/0264-9381/25/12/125010

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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