On algebraically special vacuum spacetimes in five dimensions
On algebraically special vacuum spacetimes in five dimensions
复制标题
五维代数特殊真空时空
DOI：
10.1088/0264-9381/30/5/055004
复制
发表时间：
2012
影响因子：
3.5
通讯作者：
Carl Turner
中科院分区：
文献类型：
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作者：
H. Reall;Alexander A. H. Graham;Carl Turner
含有超曲面正交重复主零方向的真空解是一类重要的四维代数特殊时空。我们研究了这样的解决方案的5D类似物：真空时空承认超曲面正交多Weyl对齐零方向（WAND）。这样的时空分为四个家族，由定义多重WAND的膨胀和剪切的3 × 3矩阵的秩决定。等级3和等级0的情况下，以前已经研究。我们调查剩下的两个家庭。我们展示了如何定义坐标，从而导致相当大的简化爱因斯坦方程的宇宙常数。秩为2的情形给出了4D Robinson-Trautman解的翘曲积和Kaluza-Klein版本以及一些新的解。秩为1的情形给出了乘积时空，或者解析连续的史瓦西时空。
Vacuum solutions admitting a hypersurface-orthogonal repeated principal null direction are an important class of 4D algebraically special spacetimes. We investigate the 5D analogues of such solutions: vacuum spacetimes admitting a hypersurface-orthogonal multiple Weyl aligned null direction (WAND). Such spacetimes fall into four families determined by the rank of the 3 × 3 matrix that defines the expansion and shear of the multiple WAND. The rank 3 and rank 0 cases have been studied previously. We investigate the two remaining families. We show how to define coordinates which lead to a considerable simplification of the Einstein equation with cosmological constant. The rank 2 case gives warped product and Kaluza–Klein versions of the 4D Robinson–Trautman solutions as well as some new solutions. The rank 1 case gives product, or analytically continued Schwarzschild, spacetimes.
爱因斯坦、韦尔和五维黑洞时空。
DOI：
--
发表时间：
2019
期刊：
影响因子：
--
作者：
Marcus Khuri;Gilbert Weinstein;Sumio Yamada;Sumio Yamada;山田澄生;山田澄生;山田澄生;山田澄生;山田澄生;山田 澄生;山田 澄生
通讯作者：
山田 澄生