Lorentzian Warped Products and Singularity

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作者
M. Ulanovskii
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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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  • [1] Ulanovskii M.(1988)undefined Ukrainian Geometr. Sb. 31 112-undefined
  • [2] Ulanovskii M.(1989)undefined Ukrainian Geometr. Sb. 32 118-undefined