Shear-free perfect fluids with a γ-law equation of state

被引：0

作者：

Carminati, J. ^{[1
]}

机构：

[1] Deakin Univ, Sch Informat Technol, Geelong, Vic 3217, Australia

来源：

GENERAL RELATIVITY AND GRAVITATION | 2015年 / 47卷 / 04期

关键词：

Shear-free relativistic fluids; Cosmology; Gamma law; GENERAL-RELATIVITY; SPACETIMES; CONJECTURE; MODELS;

D O I：

10.1007/s10714-015-1887-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate all shear-free perfect fluid solutions of the Einstein field equations where the pressure and energy density satisfy a gamma-law equation of state with mu + p not equal 0. We prove that such a fluid is either non rotating or non expanding. As a consequence, it follows by combining our result with those of Collins and Wainwright that any such shear-free perfect fluid which models either an expand universe or a collapsing star must in fact be a Friedmann-Robertson-Walker spacetime.

引用

页数：10

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