Painleve transcendents and Einstein's equation

被引：6
|
作者：
Calvert, G
Woodhouse, NMJ
机构：
[1] Mathematical Institute, University of Oxford
来源：
CLASSICAL AND QUANTUM GRAVITY | 1996年 / 13卷 / 04期
关键词：
D O I：
10.1088/0264-9381/13/4/001
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Both the Ernst equation and the six Painleve transcendental equations are reductions of the self-dual Yang-Mills (SDYM) equations. We show how this link can be used to find exact solutions to Einstein's equations and to understand aspects of the integrability of the Ernst equation.
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页码：L33 / L39
页数：7
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