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.

引用

页数：10

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