Variations on Birkhoff's theorem

被引：11

作者：

Ellis, George F. R. ^{[1
,2
]}

Goswami, Rituparno ^{[3
]}

机构：

[1] Univ Cape Town, Dept Math, ZA-7700 Cape Town, South Africa

[2] Univ Cape Town, ACGC, ZA-7700 Cape Town, South Africa

[3] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Astrophys & Cosmol Res Unit, ZA-4000 Durban, South Africa

来源：

GENERAL RELATIVITY AND GRAVITATION | 2013年 / 45卷 / 11期

关键词：

Birkhoff theorem; Expansion of universe; SCHWARZSCHILD; PERTURBATIONS; COVARIANT; SPACETIME; DYNAMICS; MATTER;

D O I：

10.1007/s10714-013-1568-z

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The relation between the expanding universe and local vacuum solutions, such as that for the Solar System, is crucially mediated by Birkhoff's theorem. Here we consider how that relation works, and give generalizations of Birkhoff's theorem when there are geometric and matter and perturbations. The issue of to what degree dark matter might influence the solar system emerges as a significant question.

引用

页码：2123 / 2142

页数：20

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