Shear-free perfect fluids in general relativity .3. Petrov type III spacetimes

被引：9

作者：

Carminati, J

Cyganowski, S

机构：

[1] School of Computing and Mathematics, Deakin University, Geelong, Vic.

来源：

CLASSICAL AND QUANTUM GRAVITY | 1996年 / 13卷 / 07期

关键词：

D O I：

10.1088/0264-9381/13/7/014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 not equivalent to 0, the fluid volume expansion is zero, or the equation of state satisfies 9p double over dot(w + p) - 18p over dot(2) + 2 = 0. It follows that all such perfect fluids whose equation of state is the gamma law, must have zero fluid volume expansion.

引用

页码：1805 / 1817

页数：13

共 15 条

[1]

Barnes A., 1973, General Relativity and Gravitation, V4, P105, DOI 10.1007/BF00762798

[2]

BUCHBERGER B, 1984, P 2 RIKEN INT S SYMB

[3] SHEAR-FREE PERFECT FLUIDS IN GENERAL-RELATIVITY .2. ALIGNED, PETROV TYPE-III SPACE-TIMES [J].