Shear-free perfect fluids in general relativity: IV. Petrov type III spacetimes

Physics

Scientific paper

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Scientific paper

It is shown that for any Petrov type III, shear-free, perfect-fluid
solution of Einstein's field equations, in which the perfect fluid
satisfies a barotropic equation of state 0264-9381/14/5/020/img1 such
that 0264-9381/14/5/020/img2, the fluid volume expansion is zero. In
addition, the fluid must necessarily be rotating.

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