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

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

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.1805c&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 7, pp. 1805-1817 (1996).

Physics

6

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 p = p(w) such that 0264-9381/13/7/014/img1, the fluid volume expansion is zero, or the equation of state satisfies 0264-9381/13/7/014/img2. It follows that all such perfect fluids whose equation of state is the gamma law, must have zero fluid volume expansion.

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