Purely radiative perfect fluids with degenerate shear tensor
General Relativity and Quantum Cosmology
2008-11-26 v2
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).
Cite
@article{arxiv.0801.3343,
title = {Purely radiative perfect fluids with degenerate shear tensor},
author = {H. R. Karimian and N. Van den Bergh and L. De Groote},
journal= {arXiv preprint arXiv:0801.3343},
year = {2008}
}
Comments
8 pages, references added, typos corrected, simplified some algebraic manipulations