English

Shear-free perfect fluids with a solenoidal electric curvature

General Relativity and Quantum Cosmology 2015-06-03 v2

Abstract

We prove that the vorticity or the expansion vanishes for any shear-free perfect fluid solution of the Einstein field equations where the pressure satisfies a barotropic equation of state and the spatial divergence of the electric part of the Weyl tensor is zero.

Keywords

Cite

@article{arxiv.1201.4241,
  title  = {Shear-free perfect fluids with a solenoidal electric curvature},
  author = {Norbert Van den Bergh and John Carminati and Hamid Reza Karimian and Peter Huf},
  journal= {arXiv preprint arXiv:1201.4241},
  year   = {2015}
}

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9 pages