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

Carminati, J. (1990) Shear-free perfect fluids in general relativity II. Aligned, Petrov type III space-times. Journal of Mathematical Physics, 31 (10). p. 2434.

Link to Published Version: http://dx.doi.org/10.1063/1.528849
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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.

Publication Type: Journal Article
Publisher: AIP Publishing
Copyright: © 1990 American Institute of Physics
URI: http://researchrepository.murdoch.edu.au/id/eprint/34923
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