Factor structure of the Tomimatsu-Sato solutions and their recurrence relations

被引：0
|
作者：
Hoenselaers, C [1 ]
机构：
[1] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
来源：
ANNALEN DER PHYSIK | 2000年 / 9卷 / 06期
关键词：
exact solutions; Tomimatsu-Sato solutions; general relativity;
D O I：
10.1002/1521-3889(200006)9:6<453::AID-ANDP453>3.0.CO;2-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider stationary axisymmetric vacuum solutions of Einstein's equations for which the Ernst potential is rational in prolate spheroidal coordinates. Extending an earlier study we show that there are several new expressions which are factorizable. In particular, we concentrate on the Tomimatsu-Sato solutions and their recurrence relations. Various continuum limits of the recurrence relations will be discussed.
引用
收藏
页码：453 / 460
页数：8
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