SHEAR-FREE PERFECT FLUIDS IN GENERAL-RELATIVITY .3. PETROV TYPE-III SPACETIMES

Authors
CARMINATI J CYGANOWSKI S
Citation
J. Carminati et S. Cyganowski, SHEAR-FREE PERFECT FLUIDS IN GENERAL-RELATIVITY .3. PETROV TYPE-III SPACETIMES, Classical and quantum gravity, 13(7), 1996, pp. 1805-1817
Citations number
15
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
13
Issue
7
Year of publication
1996
Pages
1805 - 1817
Database
ISI
SICI code
0264-9381(1996)13:7<1805:SPFIG.>2.0.ZU;2-T
Abstract
It is shown that for any Petrov type III, shear-free, perfect fluid so lution of Einstein's field equations, in which the perfect fluid satis fies a barotropic equation of state p = p(w) such that w + p not equiv alent to 0, the fluid volume expansion is zero, or the equation of sta te satisfies 9p double over dot(w + p) - 18p over dot(2) + 2 = 0. It f ollows that all such perfect fluids whose equation of state is the gam ma law, must have zero fluid volume expansion.