The general Kerr-de Sitter metrics in all dimensions
The general Kerr-de Sitter metrics in all dimensions
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DOI：
10.1016/j.geomphys.2004.05.001
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发表时间：
2005-01-01
影响因子：
1.5
通讯作者：
Pope, CN
中科院分区：
文献类型：
--
作者：
Gibbons, GW;L端, H;Pope, CN
我们给出任意时空维D b> 4的一般克尔-德西特度规，其最大值。独立旋转参数的个数[(D - 1)/2]。我们得到克尔-柴尔德形式的度规，它被写成德西特度规加上零测地线矢量的平方的和，在广义的博伊尔-林德奎斯特坐标下。克尔-柴尔德形式对于验证爱因斯坦方程是否满足更简单，并且我们已经明确地检查了所有维度D < 11的结果。我们讨论了度量的整体结构，并得到了表面重力和事件视界面积的公式。我们也得到了欧几里得签名解，并构造了完备的非奇异紧致爱因斯坦空间。S-2上相关联的SD-2束，对于大于或等于5的每一个奇数D有无限多个。(C) 2004年Elsevier B.V.出版
We give the general Kerr-de Sitter metric in arbitrary space-time dimension D > 4, with the maxima. number [(D - 1)/2] of independent rotation parameters. We obtain the metric in Kerr-Schild form, where it is written as the sum of a de Sitter metric plus the square of a null-geodesic vector, and in generalised Boyer-Lindquist coordinates. The Kerr-Schild form is simpler for verifying that the :Einstein equations are satisfied, and we have explicitly checked our results for all dimensions D < 11. We discuss the global structure of the metrics, and obtain formulae for the surface gravities and areas of the event horizons. We also obtain the Euclidean-signature solutions, and we construct complete non-singular compact Einstein spaces on. associated SD-2 bundles over S-2, infinitely many for each odd D greater than or equal to 5. (C) 2004 Published by Elsevier B.V.