Comparisons of the Lorentzian volumes between level hypersurfaces (Q1029493)

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scientific article; zbMATH DE number 5577514
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Comparisons of the Lorentzian volumes between level hypersurfaces
scientific article; zbMATH DE number 5577514

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    Comparisons of the Lorentzian volumes between level hypersurfaces (English)
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    10 July 2009
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    The author shows the Lorentzian volume comparison between hypersurfaces with a model space of a Robertson-Walker space-time \( \widetilde{M}=I\times _{f}H(r_{0})\) in a simple way via the comparison of the Riccati differential equations. The Lorentzian volume comparisons between hypersurfaces with a model space of \(\widetilde{M}(k)\) are mentioned.
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    volume comparison
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    globally hyperbolic space-time
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    Lorentzian warped product
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    Riccati equation
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