Shear-free perfect fluids with a solenoidal electric curvature
arXiv:1201.4241 · doi:10.1088/0264-9381/29/10/105010
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.
9 pages