Lorentzian Warped Products and Singularity

被引：0
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作者：
M. Ulanovskii
机构：
来源：
General Relativity and Gravitation | 1999年 / 31卷
关键词：
LORENTZIAN MANIFOLD; RICCI FORM;
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摘要：
We show that to any convex function f:ℝn → ℝ there correspondinfinitely many geodesically complete metricsds2 such that Ric(ξ) ξ 0 for anynonspacelike vector ξ. These metrics are constructedas the warped products of the natural metric inℝ and the inner metric of a convexhyperface (the graph of f) in ℝn + 1.
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页码：1813 / 1820
页数：7
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