On higher dimensional Einstein spacetimes with a warped extra dimension
On higher dimensional Einstein spacetimes with a warped extra dimension
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具有扭曲额外维度的高维爱因斯坦时空
DOI：
10.1088/0264-9381/28/10/105006
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发表时间：
2010
影响因子：
3.5
通讯作者：
A. Pravdová
中科院分区：
文献类型：
--
作者：
M. Ortaggio;V. Pravda;A. Pravdová
本文研究了一类具有额外一维的高维弯曲爱因斯坦时空。这些最初被Brinkmann确定为可以共形映射到其他爱因斯坦时空上的爱因斯坦时空，随后出现在各种背景下描述，例如，不同的膜世界模型或者扭曲的黑弦。在阐明了广义Brinkmann度规与其他更具体坐标系的关系后，我们分析了解的Weyl张量的代数类型。特别是，我们描述的关系外尔对齐零方向的低维爱因斯坦切片和完整的时空，在某些情况下，可以代数更特殊。可能的时空奇异性引入的翘曲因子确定通过研究的标量曲率不变量和Weyl分量测量的大地观测。最后，我们说明如何Brinkmann的度量可以用来产生新的解决方案，提出的度量的自旋和加速的黑弦在五维anti-de Sitter空间。
We study a class of higher dimensional warped Einstein spacetimes with one extra dimension. These were originally identified by Brinkmann as those Einstein spacetimes that can be mapped conformally on other Einstein spacetimes, and have subsequently appeared in various contexts to describe, e.g., different braneworld models or warped black strings. After clarifying the relation between the general Brinkmann metric and other more specific coordinate systems, we analyze the algebraic type of the Weyl tensor of the solutions. In particular, we describe the relation between Weyl aligned null directions of the lower dimensional Einstein slices and of the full spacetime, which in some cases can be algebraically more special. Possible spacetime singularities introduced by the warp factor are determined via a study of scalar curvature invariants and Weyl components measured by geodetic observers. Finally, we illustrate how Brinkmann's metric can be employed to generate new solutions by presenting the metric of spinning and accelerating black strings in five-dimensional anti-de Sitter space.
DOI：
10.1017/9781009253161
发表时间：
2023-02
期刊：
--
影响因子：
--
作者：
S. Hawking;G. Ellis
通讯作者：
S. Hawking;G. Ellis
影响因子：
1.5
作者：
Gibbons, GW;L端, H;Pope, CN
通讯作者：
Pope, CN