Uniformly rotating homogeneous rings in post-Newtonian gravity

被引：2

作者：

Horatschek, Stefan ^{[1
]}

Petroff, David ^{[1
]}

机构：

[1] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2010年 / 408卷 / 03期

关键词：

gravitation; methods: analytical; stars: rotation; GENERAL-RELATIVITY; MACLAURIN SPHEROIDS; BLACK-HOLE; EQUILIBRIUM; FLUID; STARS; CYLINDERS; SEQUENCE; FIGURES; DISKS;

D O I：

10.1111/j.1365-2966.2010.17241.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, uniformly rotating relativistic rings are investigated analytically utilizing two different approximations simultaneously: (1) an expansion about the thin-ring limit (the cross-section is small compared with the size of the whole ring) and (2) post-Newtonian expansions. The analytic results for rings are compared with numerical solutions.

引用

页码：1749 / 1757

页数：9

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