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

Carminati, J. and Cyganowski, S. 1996, Shear-free perfect fluids in general relativity: III. Petrov type III spacetimes, Classical and quantum gravity, vol. 13, no. 7, pp. 1805-1817, doi: 10.1088/0264-9381/13/7/014.

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Title Shear-free perfect fluids in general relativity: III. Petrov type III spacetimes
Author(s) Carminati, J.
Cyganowski, S.
Journal name Classical and quantum gravity
Volume number 13
Issue number 7
Start page 1805
End page 1817
Total pages 13
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 1996-12
ISSN 0264-9381
Summary 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 p = p(w) such that w + p ≢ 0, the fluid volume expansion is zero, or the equation of state satisfies 9p̈(w + p) - 18ṗ2 + 2 = 0. It follows that all such perfect fluids whose equation of state is the gamma law, must have zero fluid volume expansion. © 1996 IOP Publishing Ltd.
Language eng
DOI 10.1088/0264-9381/13/7/014
Indigenous content off
Field of Research 02 Physical Sciences
01 Mathematical Sciences
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©1996, IOP Publishing
Persistent URL http://hdl.handle.net/10536/DRO/DU:30127984

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