SHEAR-FREE PERFECT FLUIDS IN GENERAL-RELATIVITY .4. PETROV TYPE-III SPACETIMES

Citation
J. Carminati et S. Cyganowski, SHEAR-FREE PERFECT FLUIDS IN GENERAL-RELATIVITY .4. PETROV TYPE-III SPACETIMES, Classical and quantum gravity, 14(5), 1997, pp. 1167-1181
Citations number
15
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
14
Issue
5
Year of publication
1997
Pages
1167 - 1181
Database
ISI
SICI code
0264-9381(1997)14:5<1167:SPFIG.>2.0.ZU;2-I
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 equal 0, the fluid volume expansion is zero. In addition, the fluid must ne cessarily be rotating.