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Shear-free perfect fluids in general relativity II. Aligned, Petrov type III space-times
Journal article   Peer reviewed

Shear-free perfect fluids in general relativity II. Aligned, Petrov type III space-times

J. Carminati
Journal of Mathematical Physics, Vol.31(10)
1990
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Abstract

Petrov type III, shear‐free, perfect fluid solutions of the Einstein field equations, with a barotropic equation of statep=p(w) satisfying w+p≢0, are investigated. It is shown that if the acceleration of the fluid is orthogonal to the two‐spaces spanned by the repeated principal null direction of the Weyl tensor and the fluid four‐velocity, or if the fluid four‐velocity lies in the two‐spaces spanned by the principal null directions of the Weyl tensor, then the fluid’s volume expansion is zero.

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Citation topics
5 Physics
5.9 Particles & Fields
5.9.12 Dark Energy
Web Of Science research areas
Physics, Mathematical
ESI research areas
Physics
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