Purely radiative perfect fluids with degenerate shear tensor

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

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/200109

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.3343
 http://arxiv.org/abs/0801.3343
 Class.Quant.Grav.25:125010,2008
 doi:10.1088/0264-9381/25/12/125010

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arXiv