Shear-free perfect fluids with a solenoidal electric curvature
classification
🌀 gr-qc
keywords
electricperfectshear-freebarotropiccurvaturedivergenceeinsteinequation
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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.
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