Invariant solutions for the static vacuum equation

被引：6
|
作者：
Leandro, Benedito [1 ]
Pina, Romildo [2 ]
机构：
[1] Univ Fed Goias, Ctr Ciencias Exatas, BR 364,Km 195,3800, BR-75801615 Jatai, Go, Brazil
[2] Univ Fed Goias, IME, BR-74001970 Goiania, Go, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 07期
关键词：
MULTIPLE BLACK-HOLES; SCALAR CURVATURE; EINSTEIN EQUATIONS; SPACE-TIMES; NONEXISTENCE;
D O I：
10.1063/1.4995403
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the static vacuum Einstein space-time when the spatial factor (or, base) is conformal to a pseudo-Euclidean space, which is invariant under the action of a translation group. We characterize all such solitons. Moreover, we give examples of static vacuum Einstein solutions for Einstein's field equation. Applications provide an explicit example of a complete static vacuum Einstein space-time. Published by AIP Publishing.
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收藏
页数：10
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