English

Purely radiative irrotational dust spacetimes

General Relativity and Quantum Cosmology 2008-11-26 v2

Abstract

We consider irrotational dust spacetimes in the full non-linear regime which are "purely radiative" in the sense that the gravitational field satisfies the covariant transverse conditions div(H) = div(E) = 0. Within this family we show that the Bianchi class A spatially homogeneous dust models are uniquely characterised by the condition that HH is diagonal in the shear-eigenframe.

Cite

@article{arxiv.gr-qc/0611079,
  title  = {Purely radiative irrotational dust spacetimes},
  author = {N Van den Bergh and B Bastiaensen and H R Karimian and L Wylleman},
  journal= {arXiv preprint arXiv:gr-qc/0611079},
  year   = {2008}
}

Comments

6 pages, ERE 2006 conference, minor corrections

R2 v1 2026-07-22T12:46:49.027Z