A note on generalized Robertson-Walker space-times

被引：65

作者：

Mantica, Carlo Alberto ^{[1
,2
]}

Suh, Young Jin ^{[3
]}

De, Uday Chand ^{[1
,4
]}

机构：

[1] Univ Milan, Dept Phys, Via Celoria 16, I-20133 Milan, Italy

[2] IIS Lagrange, Via L,Modignani 65, I-20161 Milan, Italy

[3] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[4] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2016年 / 13卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Generalized Robertson-Walker space-time; time-like concircular vector field; Lorentzian manifolds with divergence free Weyl tensor; perfect fluid space-times; scalar field space-times with time-like gradient; CURVATURE; GEOMETRY;

D O I：

10.1142/S0219887816500791

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A generalized Robertson-Walker (GRW) space-time is the generalization of the classical Robertson-Walker space-time. In the present paper, we show that a Ricci simple manifold with vanishing divergence of the conformal curvature tensor admits a proper concircular vector field and it is necessarily a GRW space-time. Further, we show that a stiff matter perfect fluid space-time or a mass-less scalar field with time-like gradient and with divergence-free Weyl tensor are GRW space-times.

引用

页数：9

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