Irrotational dust with Div H=0

Details Irrotational dust with Div H=0 Irrotational dust with Div H=0

1995-08-23

arxiv.org/abs/gr-qc/9508049v1

Phys.Rev. D53 (1996) 738-746

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages. Latex. Also avaliable at http://shiva.mth.uct.ac.za/preprints/text/lesame2.tex

Scientific paper

10.1103/PhysRevD.53.738

For irrotational dust the shear tensor is consistently diagonalizable with its covariant time derivative: $\sigma_{ab}=0=\dot{\sigma}_{ab},\; a\neq b$, if and only if the divergence of the magnetic part of the Weyl tensor vanishes: $div~H = 0$. We show here that in that case, the consistency of the Ricci constraints requires that the magnetic part of the Weyl tensor itself vanishes: $H_{ab}=0$.

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