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.
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页码：1749 / 1757
页数：9
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