Shear-free perfect fluids with linear equation of state
classification
🌀 gr-qc
hep-thmath-phmath.DGmath.MP
keywords
equationslinearperfectshear-freestateconjecturedeinsteineither
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We prove that shear-free perfect fluid solutions of Einstein's field equations must be either expansion-free or non-rotating (as conjectured by Treciokas and Ellis) for all linear equations of state $p = w \rho$ except for six values of $w$.
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